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Finding the Fourth Proportional to 132,953.38, 199,318.20 and 61,839.88

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Solution

The fourth proportional to 132,953.38, 199,318.20 and 61,839.88 is: 92,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,953.38 : 199,318.20 = 61,839.88 : x
  2. Step 2: Convert to fraction form
    132,953.38/199,318.20 = 61,839.88/x
  3. Step 3: Cross multiply
    132,953.38x = 199,318.20 × 61,839.88
  4. Step 4: Simplify right side
    132,953.38x = 12,325,812,573.23
  5. Step 5: Solve for x
    x = 12,325,812,573.23/132,953.38
  6. Step 6: Final answer
    x = 92,707.78

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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.