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Finding the Fourth Proportional to 132,392.52, 198,477.24 and 57,456.24

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Solution

The fourth proportional to 132,392.52, 198,477.24 and 57,456.24 is: 86,135.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,392.52 : 198,477.24 = 57,456.24 : x
  2. Step 2: Convert to fraction form
    132,392.52/198,477.24 = 57,456.24/x
  3. Step 3: Cross multiply
    132,392.52x = 198,477.24 × 57,456.24
  4. Step 4: Simplify right side
    132,392.52x = 11,403,755,935.98
  5. Step 5: Solve for x
    x = 11,403,755,935.98/132,392.52
  6. Step 6: Final answer
    x = 86,135.95

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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.