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Finding the Fourth Proportional to 226,378.68, 339,356.89 and 76,514.71

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Solution

The fourth proportional to 226,378.68, 339,356.89 and 76,514.71 is: 114,700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,378.68 : 339,356.89 = 76,514.71 : x
  2. Step 2: Convert to fraction form
    226,378.68/339,356.89 = 76,514.71/x
  3. Step 3: Cross multiply
    226,378.68x = 339,356.89 × 76,514.71
  4. Step 4: Simplify right side
    226,378.68x = 25,965,792,985.17
  5. Step 5: Solve for x
    x = 25,965,792,985.17/226,378.68
  6. Step 6: Final answer
    x = 114,700.70

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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.