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Finding the Fourth Proportional to 132,414.48, 198,509.85 and 57,477.96

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Solution

The fourth proportional to 132,414.48, 198,509.85 and 57,477.96 is: 86,168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,414.48 : 198,509.85 = 57,477.96 : x
  2. Step 2: Convert to fraction form
    132,414.48/198,509.85 = 57,477.96/x
  3. Step 3: Cross multiply
    132,414.48x = 198,509.85 × 57,477.96
  4. Step 4: Simplify right side
    132,414.48x = 11,409,941,217.91
  5. Step 5: Solve for x
    x = 11,409,941,217.91/132,414.48
  6. Step 6: Final answer
    x = 86,168.38

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