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Finding the Fourth Proportional to 201,691.85, 278,332.44 and 111,045.96

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Solution

The fourth proportional to 201,691.85, 278,332.44 and 111,045.96 is: 153,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,691.85 : 278,332.44 = 111,045.96 : x
  2. Step 2: Convert to fraction form
    201,691.85/278,332.44 = 111,045.96/x
  3. Step 3: Cross multiply
    201,691.85x = 278,332.44 × 111,045.96
  4. Step 4: Simplify right side
    201,691.85x = 30,907,692,998.94
  5. Step 5: Solve for x
    x = 30,907,692,998.94/201,691.85
  6. Step 6: Final answer
    x = 153,242.16

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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.