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Finding the Fourth Proportional to 146,517.52, 219,866.52 and 57,755.92

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Solution

The fourth proportional to 146,517.52, 219,866.52 and 57,755.92 is: 86,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,517.52 : 219,866.52 = 57,755.92 : x
  2. Step 2: Convert to fraction form
    146,517.52/219,866.52 = 57,755.92/x
  3. Step 3: Cross multiply
    146,517.52x = 219,866.52 × 57,755.92
  4. Step 4: Simplify right side
    146,517.52x = 12,698,593,139.80
  5. Step 5: Solve for x
    x = 12,698,593,139.80/146,517.52
  6. Step 6: Final answer
    x = 86,669.45

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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.