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Finding the Fourth Proportional to 282,734.64, 424,240.38 and 132,990.17

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Solution

The fourth proportional to 282,734.64, 424,240.38 and 132,990.17 is: 199,550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,734.64 : 424,240.38 = 132,990.17 : x
  2. Step 2: Convert to fraction form
    282,734.64/424,240.38 = 132,990.17/x
  3. Step 3: Cross multiply
    282,734.64x = 424,240.38 × 132,990.17
  4. Step 4: Simplify right side
    282,734.64x = 56,419,798,135.86
  5. Step 5: Solve for x
    x = 56,419,798,135.86/282,734.64
  6. Step 6: Final answer
    x = 199,550.36

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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.