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Finding the Fourth Proportional to 257,752.36, 355,674.52 and 144,553.24

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Solution

The fourth proportional to 257,752.36, 355,674.52 and 144,553.24 is: 199,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,752.36 : 355,674.52 = 144,553.24 : x
  2. Step 2: Convert to fraction form
    257,752.36/355,674.52 = 144,553.24/x
  3. Step 3: Cross multiply
    257,752.36x = 355,674.52 × 144,553.24
  4. Step 4: Simplify right side
    257,752.36x = 51,413,904,251.44
  5. Step 5: Solve for x
    x = 51,413,904,251.44/257,752.36
  6. Step 6: Final answer
    x = 199,470.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.