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Finding the Fourth Proportional to 137,447.61, 189,677.73 and 83,732.61

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Solution

The fourth proportional to 137,447.61, 189,677.73 and 83,732.61 is: 115,551.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,447.61 : 189,677.73 = 83,732.61 : x
  2. Step 2: Convert to fraction form
    137,447.61/189,677.73 = 83,732.61/x
  3. Step 3: Cross multiply
    137,447.61x = 189,677.73 × 83,732.61
  4. Step 4: Simplify right side
    137,447.61x = 15,882,211,391.78
  5. Step 5: Solve for x
    x = 15,882,211,391.78/137,447.61
  6. Step 6: Final answer
    x = 115,551.02

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Why These Related Problems?

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