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Finding the Fourth Proportional to 201,773.46, 278,460.01 and 111,129.40

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Solution

The fourth proportional to 201,773.46, 278,460.01 and 111,129.40 is: 153,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,773.46 : 278,460.01 = 111,129.40 : x
  2. Step 2: Convert to fraction form
    201,773.46/278,460.01 = 111,129.40/x
  3. Step 3: Cross multiply
    201,773.46x = 278,460.01 × 111,129.40
  4. Step 4: Simplify right side
    201,773.46x = 30,945,094,809.27
  5. Step 5: Solve for x
    x = 30,945,094,809.27/201,773.46
  6. Step 6: Final answer
    x = 153,365.54

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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.