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Finding the Fourth Proportional to 100,677.29, 138,937.29 and 54,740.02

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Solution

The fourth proportional to 100,677.29, 138,937.29 and 54,740.02 is: 75,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,677.29 : 138,937.29 = 54,740.02 : x
  2. Step 2: Convert to fraction form
    100,677.29/138,937.29 = 54,740.02/x
  3. Step 3: Cross multiply
    100,677.29x = 138,937.29 × 54,740.02
  4. Step 4: Simplify right side
    100,677.29x = 7,605,430,033.35
  5. Step 5: Solve for x
    x = 7,605,430,033.35/100,677.29
  6. Step 6: Final answer
    x = 75,542.66

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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.