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Finding the Fourth Proportional to 185,591.39, 256,116.80 and 100,708.46

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Solution

The fourth proportional to 185,591.39, 256,116.80 and 100,708.46 is: 138,978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,591.39 : 256,116.80 = 100,708.46 : x
  2. Step 2: Convert to fraction form
    185,591.39/256,116.80 = 100,708.46/x
  3. Step 3: Cross multiply
    185,591.39x = 256,116.80 × 100,708.46
  4. Step 4: Simplify right side
    185,591.39x = 25,793,128,508.13
  5. Step 5: Solve for x
    x = 25,793,128,508.13/185,591.39
  6. Step 6: Final answer
    x = 138,978.04

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