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Finding the Fourth Proportional to 125,283.30, 187,906.72 and 36,512.97

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Solution

The fourth proportional to 125,283.30, 187,906.72 and 36,512.97 is: 54,764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,283.30 : 187,906.72 = 36,512.97 : x
  2. Step 2: Convert to fraction form
    125,283.30/187,906.72 = 36,512.97/x
  3. Step 3: Cross multiply
    125,283.30x = 187,906.72 × 36,512.97
  4. Step 4: Simplify right side
    125,283.30x = 6,861,032,430.16
  5. Step 5: Solve for x
    x = 6,861,032,430.16/125,283.30
  6. Step 6: Final answer
    x = 54,764.14

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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.