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Finding the Fourth Proportional to 226,726.60, 340,079.10 and 76,952.20

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Solution

The fourth proportional to 226,726.60, 340,079.10 and 76,952.20 is: 115,424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,726.60 : 340,079.10 = 76,952.20 : x
  2. Step 2: Convert to fraction form
    226,726.60/340,079.10 = 76,952.20/x
  3. Step 3: Cross multiply
    226,726.60x = 340,079.10 × 76,952.20
  4. Step 4: Simplify right side
    226,726.60x = 26,169,834,919.02
  5. Step 5: Solve for x
    x = 26,169,834,919.02/226,726.60
  6. Step 6: Final answer
    x = 115,424.63

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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.