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Finding the Fourth Proportional to 132,124.45, 198,216.95 and 57,257.16

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Solution

The fourth proportional to 132,124.45, 198,216.95 and 57,257.16 is: 85,898.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,124.45 : 198,216.95 = 57,257.16 : x
  2. Step 2: Convert to fraction form
    132,124.45/198,216.95 = 57,257.16/x
  3. Step 3: Cross multiply
    132,124.45x = 198,216.95 × 57,257.16
  4. Step 4: Simplify right side
    132,124.45x = 11,349,339,334.58
  5. Step 5: Solve for x
    x = 11,349,339,334.58/132,124.45
  6. Step 6: Final answer
    x = 85,898.86

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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.