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Finding the Fourth Proportional to 132,157.40, 198,319.50 and 56,255.83

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Solution

The fourth proportional to 132,157.40, 198,319.50 and 56,255.83 is: 84,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,157.40 : 198,319.50 = 56,255.83 : x
  2. Step 2: Convert to fraction form
    132,157.40/198,319.50 = 56,255.83/x
  3. Step 3: Cross multiply
    132,157.40x = 198,319.50 × 56,255.83
  4. Step 4: Simplify right side
    132,157.40x = 11,156,627,263.67
  5. Step 5: Solve for x
    x = 11,156,627,263.67/132,157.40
  6. Step 6: Final answer
    x = 84,419.24

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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.