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Finding the Fourth Proportional to 226,865.66, 340,314.15 and 77,044.82

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Solution

The fourth proportional to 226,865.66, 340,314.15 and 77,044.82 is: 115,572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,865.66 : 340,314.15 = 77,044.82 : x
  2. Step 2: Convert to fraction form
    226,865.66/340,314.15 = 77,044.82/x
  3. Step 3: Cross multiply
    226,865.66x = 340,314.15 × 77,044.82
  4. Step 4: Simplify right side
    226,865.66x = 26,219,442,430.20
  5. Step 5: Solve for x
    x = 26,219,442,430.20/226,865.66
  6. Step 6: Final answer
    x = 115,572.55

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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.