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Finding the Fourth Proportional to 205,592.52, 283,728.51 and 125,006.70

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Solution

The fourth proportional to 205,592.52, 283,728.51 and 125,006.70 is: 172,515.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,592.52 : 283,728.51 = 125,006.70 : x
  2. Step 2: Convert to fraction form
    205,592.52/283,728.51 = 125,006.70/x
  3. Step 3: Cross multiply
    205,592.52x = 283,728.51 × 125,006.70
  4. Step 4: Simplify right side
    205,592.52x = 35,467,964,731.02
  5. Step 5: Solve for x
    x = 35,467,964,731.02/205,592.52
  6. Step 6: Final answer
    x = 172,515.83

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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.