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Finding the Fourth Proportional to 137,041.47, 205,597.17 and 57,052.86

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Solution

The fourth proportional to 137,041.47, 205,597.17 and 57,052.86 is: 85,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,041.47 : 205,597.17 = 57,052.86 : x
  2. Step 2: Convert to fraction form
    137,041.47/205,597.17 = 57,052.86/x
  3. Step 3: Cross multiply
    137,041.47x = 205,597.17 × 57,052.86
  4. Step 4: Simplify right side
    137,041.47x = 11,729,906,556.41
  5. Step 5: Solve for x
    x = 11,729,906,556.41/137,041.47
  6. Step 6: Final answer
    x = 85,593.85

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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.