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Finding the Fourth Proportional to 132,612.76, 198,919.14 and 49,513.24

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Solution

The fourth proportional to 132,612.76, 198,919.14 and 49,513.24 is: 74,269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,612.76 : 198,919.14 = 49,513.24 : x
  2. Step 2: Convert to fraction form
    132,612.76/198,919.14 = 49,513.24/x
  3. Step 3: Cross multiply
    132,612.76x = 198,919.14 × 49,513.24
  4. Step 4: Simplify right side
    132,612.76x = 9,849,131,119.41
  5. Step 5: Solve for x
    x = 9,849,131,119.41/132,612.76
  6. Step 6: Final answer
    x = 74,269.86

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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.