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Finding the Fourth Proportional to 109,854.43, 151,489.95 and 82,695.53

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Solution

The fourth proportional to 109,854.43, 151,489.95 and 82,695.53 is: 114,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,854.43 : 151,489.95 = 82,695.53 : x
  2. Step 2: Convert to fraction form
    109,854.43/151,489.95 = 82,695.53/x
  3. Step 3: Cross multiply
    109,854.43x = 151,489.95 × 82,695.53
  4. Step 4: Simplify right side
    109,854.43x = 12,527,541,773.54
  5. Step 5: Solve for x
    x = 12,527,541,773.54/109,854.43
  6. Step 6: Final answer
    x = 114,037.66

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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.