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Finding the Fourth Proportional to 205,193.48, 283,159.62 and 128,753.73

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Solution

The fourth proportional to 205,193.48, 283,159.62 and 128,753.73 is: 177,675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,193.48 : 283,159.62 = 128,753.73 : x
  2. Step 2: Convert to fraction form
    205,193.48/283,159.62 = 128,753.73/x
  3. Step 3: Cross multiply
    205,193.48x = 283,159.62 × 128,753.73
  4. Step 4: Simplify right side
    205,193.48x = 36,457,857,260.38
  5. Step 5: Solve for x
    x = 36,457,857,260.38/205,193.48
  6. Step 6: Final answer
    x = 177,675.52

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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.