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Finding the Fourth Proportional to 282,755.92, 424,695.18 and 169,122.64

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Solution

The fourth proportional to 282,755.92, 424,695.18 and 169,122.64 is: 254,019.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,755.92 : 424,695.18 = 169,122.64 : x
  2. Step 2: Convert to fraction form
    282,755.92/424,695.18 = 169,122.64/x
  3. Step 3: Cross multiply
    282,755.92x = 424,695.18 × 169,122.64
  4. Step 4: Simplify right side
    282,755.92x = 71,825,570,036.88
  5. Step 5: Solve for x
    x = 71,825,570,036.88/282,755.92
  6. Step 6: Final answer
    x = 254,019.69

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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.