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Finding the Fourth Proportional to 137,098.26, 189,216.99 and 83,400.12

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Solution

The fourth proportional to 137,098.26, 189,216.99 and 83,400.12 is: 115,105.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,098.26 : 189,216.99 = 83,400.12 : x
  2. Step 2: Convert to fraction form
    137,098.26/189,216.99 = 83,400.12/x
  3. Step 3: Cross multiply
    137,098.26x = 189,216.99 × 83,400.12
  4. Step 4: Simplify right side
    137,098.26x = 15,780,719,672.04
  5. Step 5: Solve for x
    x = 15,780,719,672.04/137,098.26
  6. Step 6: Final answer
    x = 115,105.18

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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.