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Finding the Fourth Proportional to 132,141.21, 182,355 and 71,711.85

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Solution

The fourth proportional to 132,141.21, 182,355 and 71,711.85 is: 98,962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,141.21 : 182,355 = 71,711.85 : x
  2. Step 2: Convert to fraction form
    132,141.21/182,355 = 71,711.85/x
  3. Step 3: Cross multiply
    132,141.21x = 182,355 × 71,711.85
  4. Step 4: Simplify right side
    132,141.21x = 13,077,014,406.75
  5. Step 5: Solve for x
    x = 13,077,014,406.75/132,141.21
  6. Step 6: Final answer
    x = 98,962.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.