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Finding the Fourth Proportional to 137,414.20, 189,724.10 and 85,809.92

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Solution

The fourth proportional to 137,414.20, 189,724.10 and 85,809.92 is: 118,475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,414.20 : 189,724.10 = 85,809.92 : x
  2. Step 2: Convert to fraction form
    137,414.20/189,724.10 = 85,809.92/x
  3. Step 3: Cross multiply
    137,414.20x = 189,724.10 × 85,809.92
  4. Step 4: Simplify right side
    137,414.20x = 16,280,209,843.07
  5. Step 5: Solve for x
    x = 16,280,209,843.07/137,414.20
  6. Step 6: Final answer
    x = 118,475.45

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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.