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Finding the Fourth Proportional to 138,904.52, 191,684.31 and 81,542.92

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Solution

The fourth proportional to 138,904.52, 191,684.31 and 81,542.92 is: 112,526.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,904.52 : 191,684.31 = 81,542.92 : x
  2. Step 2: Convert to fraction form
    138,904.52/191,684.31 = 81,542.92/x
  3. Step 3: Cross multiply
    138,904.52x = 191,684.31 × 81,542.92
  4. Step 4: Simplify right side
    138,904.52x = 15,630,498,355.59
  5. Step 5: Solve for x
    x = 15,630,498,355.59/138,904.52
  6. Step 6: Final answer
    x = 112,526.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.