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Finding the Fourth Proportional to 282,754.92, 424,693.68 and 169,121.64

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Solution

The fourth proportional to 282,754.92, 424,693.68 and 169,121.64 is: 254,018.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,754.92 : 424,693.68 = 169,121.64 : x
  2. Step 2: Convert to fraction form
    282,754.92/424,693.68 = 169,121.64/x
  3. Step 3: Cross multiply
    282,754.92x = 424,693.68 × 169,121.64
  4. Step 4: Simplify right side
    282,754.92x = 71,824,891,659.24
  5. Step 5: Solve for x
    x = 71,824,891,659.24/282,754.92
  6. Step 6: Final answer
    x = 254,018.19

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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.