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Finding the Fourth Proportional to 192,833.88, 288,752.40 and 133,046.70

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Solution

The fourth proportional to 192,833.88, 288,752.40 and 133,046.70 is: 199,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,833.88 : 288,752.40 = 133,046.70 : x
  2. Step 2: Convert to fraction form
    192,833.88/288,752.40 = 133,046.70/x
  3. Step 3: Cross multiply
    192,833.88x = 288,752.40 × 133,046.70
  4. Step 4: Simplify right side
    192,833.88x = 38,417,553,937.08
  5. Step 5: Solve for x
    x = 38,417,553,937.08/192,833.88
  6. Step 6: Final answer
    x = 199,226.16

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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.