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Finding the Fourth Proportional to 132,955.62, 199,321.58 and 61,842.12

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Solution

The fourth proportional to 132,955.62, 199,321.58 and 61,842.12 is: 92,711.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,955.62 : 199,321.58 = 61,842.12 : x
  2. Step 2: Convert to fraction form
    132,955.62/199,321.58 = 61,842.12/x
  3. Step 3: Cross multiply
    132,955.62x = 199,321.58 × 61,842.12
  4. Step 4: Simplify right side
    132,955.62x = 12,326,469,068.95
  5. Step 5: Solve for x
    x = 12,326,469,068.95/132,955.62
  6. Step 6: Final answer
    x = 92,711.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.