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Finding the Fourth Proportional to 224,605.80, 309,942.72 and 122,610.96

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Solution

The fourth proportional to 224,605.80, 309,942.72 and 122,610.96 is: 169,195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,605.80 : 309,942.72 = 122,610.96 : x
  2. Step 2: Convert to fraction form
    224,605.80/309,942.72 = 122,610.96/x
  3. Step 3: Cross multiply
    224,605.80x = 309,942.72 × 122,610.96
  4. Step 4: Simplify right side
    224,605.80x = 38,002,374,444.21
  5. Step 5: Solve for x
    x = 38,002,374,444.21/224,605.80
  6. Step 6: Final answer
    x = 169,195.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.