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Finding the Fourth Proportional to 224,072.75, 309,235.38 and 123,470.75

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Solution

The fourth proportional to 224,072.75, 309,235.38 and 123,470.75 is: 170,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,072.75 : 309,235.38 = 123,470.75 : x
  2. Step 2: Convert to fraction form
    224,072.75/309,235.38 = 123,470.75/x
  3. Step 3: Cross multiply
    224,072.75x = 309,235.38 × 123,470.75
  4. Step 4: Simplify right side
    224,072.75x = 38,181,524,295.14
  5. Step 5: Solve for x
    x = 38,181,524,295.14/224,072.75
  6. Step 6: Final answer
    x = 170,397.89

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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.