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Finding the Fourth Proportional to 137,594.32, 189,882.09 and 83,138.93

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Solution

The fourth proportional to 137,594.32, 189,882.09 and 83,138.93 is: 114,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,594.32 : 189,882.09 = 83,138.93 : x
  2. Step 2: Convert to fraction form
    137,594.32/189,882.09 = 83,138.93/x
  3. Step 3: Cross multiply
    137,594.32x = 189,882.09 × 83,138.93
  4. Step 4: Simplify right side
    137,594.32x = 15,786,593,788.76
  5. Step 5: Solve for x
    x = 15,786,593,788.76/137,594.32
  6. Step 6: Final answer
    x = 114,732.89

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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.