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Finding the Fourth Proportional to 201,854,286.96, 278,559,038.04 and 109,034,835.81

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Solution

The fourth proportional to 201,854,286.96, 278,559,038.04 and 109,034,835.81 is: 150,468,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,854,286.96 : 278,559,038.04 = 109,034,835.81 : x
  2. Step 2: Convert to fraction form
    201,854,286.96/278,559,038.04 = 109,034,835.81/x
  3. Step 3: Cross multiply
    201,854,286.96x = 278,559,038.04 × 109,034,835.81
  4. Step 4: Simplify right side
    201,854,286.96x = 30,372,638,976,082,948
  5. Step 5: Solve for x
    x = 30,372,638,976,082,948/201,854,286.96
  6. Step 6: Final answer
    x = 150,468,139.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.