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Finding the Fourth Proportional to 137,426.68, 189,610.14 and 83,713.24

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Solution

The fourth proportional to 137,426.68, 189,610.14 and 83,713.24 is: 115,500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,426.68 : 189,610.14 = 83,713.24 : x
  2. Step 2: Convert to fraction form
    137,426.68/189,610.14 = 83,713.24/x
  3. Step 3: Cross multiply
    137,426.68x = 189,610.14 × 83,713.24
  4. Step 4: Simplify right side
    137,426.68x = 15,872,879,156.25
  5. Step 5: Solve for x
    x = 15,872,879,156.25/137,426.68
  6. Step 6: Final answer
    x = 115,500.71

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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.