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Finding the Fourth Proportional to 226,761.60, 340,142.40 and 202,267.20

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Solution

The fourth proportional to 226,761.60, 340,142.40 and 202,267.20 is: 303,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,761.60 : 340,142.40 = 202,267.20 : x
  2. Step 2: Convert to fraction form
    226,761.60/340,142.40 = 202,267.20/x
  3. Step 3: Cross multiply
    226,761.60x = 340,142.40 × 202,267.20
  4. Step 4: Simplify right side
    226,761.60x = 68,799,650,849.28
  5. Step 5: Solve for x
    x = 68,799,650,849.28/226,761.60
  6. Step 6: Final answer
    x = 303,400.80

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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.