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Finding the Fourth Proportional to 107,402.31, 160,981.97 and 54,700.47

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Solution

The fourth proportional to 107,402.31, 160,981.97 and 54,700.47 is: 81,988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,402.31 : 160,981.97 = 54,700.47 : x
  2. Step 2: Convert to fraction form
    107,402.31/160,981.97 = 54,700.47/x
  3. Step 3: Cross multiply
    107,402.31x = 160,981.97 × 54,700.47
  4. Step 4: Simplify right side
    107,402.31x = 8,805,789,147.02
  5. Step 5: Solve for x
    x = 8,805,789,147.02/107,402.31
  6. Step 6: Final answer
    x = 81,988.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.