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Finding the Fourth Proportional to 121,874.56, 182,800.32 and 38,753.92

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Solution

The fourth proportional to 121,874.56, 182,800.32 and 38,753.92 is: 58,127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,874.56 : 182,800.32 = 38,753.92 : x
  2. Step 2: Convert to fraction form
    121,874.56/182,800.32 = 38,753.92/x
  3. Step 3: Cross multiply
    121,874.56x = 182,800.32 × 38,753.92
  4. Step 4: Simplify right side
    121,874.56x = 7,084,228,977.25
  5. Step 5: Solve for x
    x = 7,084,228,977.25/121,874.56
  6. Step 6: Final answer
    x = 58,127.22

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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.