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Finding the Fourth Proportional to 132,208.14, 182,446.65 and 71,778.30

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Solution

The fourth proportional to 132,208.14, 182,446.65 and 71,778.30 is: 99,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,208.14 : 182,446.65 = 71,778.30 : x
  2. Step 2: Convert to fraction form
    132,208.14/182,446.65 = 71,778.30/x
  3. Step 3: Cross multiply
    132,208.14x = 182,446.65 × 71,778.30
  4. Step 4: Simplify right side
    132,208.14x = 13,095,710,377.70
  5. Step 5: Solve for x
    x = 13,095,710,377.70/132,208.14
  6. Step 6: Final answer
    x = 99,053.74

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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.