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Finding the Fourth Proportional to 192,265.83, 288,398.78 and 125,761.91

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Solution

The fourth proportional to 192,265.83, 288,398.78 and 125,761.91 is: 188,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,265.83 : 288,398.78 = 125,761.91 : x
  2. Step 2: Convert to fraction form
    192,265.83/288,398.78 = 125,761.91/x
  3. Step 3: Cross multiply
    192,265.83x = 288,398.78 × 125,761.91
  4. Step 4: Simplify right side
    192,265.83x = 36,269,579,343.67
  5. Step 5: Solve for x
    x = 36,269,579,343.67/192,265.83
  6. Step 6: Final answer
    x = 188,642.88

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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.