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Finding the Fourth Proportional to 132,124.70, 198,217.32 and 57,257.41

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Solution

The fourth proportional to 132,124.70, 198,217.32 and 57,257.41 is: 85,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,124.70 : 198,217.32 = 57,257.41 : x
  2. Step 2: Convert to fraction form
    132,124.70/198,217.32 = 57,257.41/x
  3. Step 3: Cross multiply
    132,124.70x = 198,217.32 × 57,257.41
  4. Step 4: Simplify right side
    132,124.70x = 11,349,410,360.34
  5. Step 5: Solve for x
    x = 11,349,410,360.34/132,124.70
  6. Step 6: Final answer
    x = 85,899.23

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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.