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Finding the Fourth Proportional to 132,377.84, 198,722.27 and 82,572.56

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Solution

The fourth proportional to 132,377.84, 198,722.27 and 82,572.56 is: 123,955.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,377.84 : 198,722.27 = 82,572.56 : x
  2. Step 2: Convert to fraction form
    132,377.84/198,722.27 = 82,572.56/x
  3. Step 3: Cross multiply
    132,377.84x = 198,722.27 × 82,572.56
  4. Step 4: Simplify right side
    132,377.84x = 16,409,005,569.30
  5. Step 5: Solve for x
    x = 16,409,005,569.30/132,377.84
  6. Step 6: Final answer
    x = 123,955.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.