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Finding the Fourth Proportional to 100,151.38, 138,209.20 and 54,829.76

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Solution

The fourth proportional to 100,151.38, 138,209.20 and 54,829.76 is: 75,665.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,151.38 : 138,209.20 = 54,829.76 : x
  2. Step 2: Convert to fraction form
    100,151.38/138,209.20 = 54,829.76/x
  3. Step 3: Cross multiply
    100,151.38x = 138,209.20 × 54,829.76
  4. Step 4: Simplify right side
    100,151.38x = 7,577,977,265.79
  5. Step 5: Solve for x
    x = 7,577,977,265.79/100,151.38
  6. Step 6: Final answer
    x = 75,665.23

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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.