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Finding the Fourth Proportional to 268,296.29, 402,443.60 and 68,616.71

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Solution

The fourth proportional to 268,296.29, 402,443.60 and 68,616.71 is: 102,924.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,296.29 : 402,443.60 = 68,616.71 : x
  2. Step 2: Convert to fraction form
    268,296.29/402,443.60 = 68,616.71/x
  3. Step 3: Cross multiply
    268,296.29x = 402,443.60 × 68,616.71
  4. Step 4: Simplify right side
    268,296.29x = 27,614,355,449.47
  5. Step 5: Solve for x
    x = 27,614,355,449.47/268,296.29
  6. Step 6: Final answer
    x = 102,924.85

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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.