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Finding the Fourth Proportional to 137,285.71, 189,321.20 and 107,060

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Solution

The fourth proportional to 137,285.71, 189,321.20 and 107,060 is: 147,639.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,285.71 : 189,321.20 = 107,060 : x
  2. Step 2: Convert to fraction form
    137,285.71/189,321.20 = 107,060/x
  3. Step 3: Cross multiply
    137,285.71x = 189,321.20 × 107,060
  4. Step 4: Simplify right side
    137,285.71x = 20,268,727,672
  5. Step 5: Solve for x
    x = 20,268,727,672/137,285.71
  6. Step 6: Final answer
    x = 147,639.02

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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.