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Finding the Fourth Proportional to 132,477.87, 182,775.92 and 82,167.15

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Solution

The fourth proportional to 132,477.87, 182,775.92 and 82,167.15 is: 113,363.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,477.87 : 182,775.92 = 82,167.15 : x
  2. Step 2: Convert to fraction form
    132,477.87/182,775.92 = 82,167.15/x
  3. Step 3: Cross multiply
    132,477.87x = 182,775.92 × 82,167.15
  4. Step 4: Simplify right side
    132,477.87x = 15,018,176,024.19
  5. Step 5: Solve for x
    x = 15,018,176,024.19/132,477.87
  6. Step 6: Final answer
    x = 113,363.66

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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.