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Finding the Fourth Proportional to 132,131.84, 198,228.02 and 57,264.54

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Solution

The fourth proportional to 132,131.84, 198,228.02 and 57,264.54 is: 85,909.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,131.84 : 198,228.02 = 57,264.54 : x
  2. Step 2: Convert to fraction form
    132,131.84/198,228.02 = 57,264.54/x
  3. Step 3: Cross multiply
    132,131.84x = 198,228.02 × 57,264.54
  4. Step 4: Simplify right side
    132,131.84x = 11,351,436,380.41
  5. Step 5: Solve for x
    x = 11,351,436,380.41/132,131.84
  6. Step 6: Final answer
    x = 85,909.92

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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.