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Finding the Fourth Proportional to 224,844.80, 337,286.40 and 77,100.80

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Solution

The fourth proportional to 224,844.80, 337,286.40 and 77,100.80 is: 115,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,844.80 : 337,286.40 = 77,100.80 : x
  2. Step 2: Convert to fraction form
    224,844.80/337,286.40 = 77,100.80/x
  3. Step 3: Cross multiply
    224,844.80x = 337,286.40 × 77,100.80
  4. Step 4: Simplify right side
    224,844.80x = 26,005,051,269.12
  5. Step 5: Solve for x
    x = 26,005,051,269.12/224,844.80
  6. Step 6: Final answer
    x = 115,657.78

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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.