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Finding the Fourth Proportional to 132,706.47, 199,123.44 and 82,773.75

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Solution

The fourth proportional to 132,706.47, 199,123.44 and 82,773.75 is: 124,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,706.47 : 199,123.44 = 82,773.75 : x
  2. Step 2: Convert to fraction form
    132,706.47/199,123.44 = 82,773.75/x
  3. Step 3: Cross multiply
    132,706.47x = 199,123.44 × 82,773.75
  4. Step 4: Simplify right side
    132,706.47x = 16,482,193,841.70
  5. Step 5: Solve for x
    x = 16,482,193,841.70/132,706.47
  6. Step 6: Final answer
    x = 124,200.38

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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.