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Finding the Fourth Proportional to 224,357.25, 309,634.88 and 123,755.25

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Solution

The fourth proportional to 224,357.25, 309,634.88 and 123,755.25 is: 170,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,357.25 : 309,634.88 = 123,755.25 : x
  2. Step 2: Convert to fraction form
    224,357.25/309,634.88 = 123,755.25/x
  3. Step 3: Cross multiply
    224,357.25x = 309,634.88 × 123,755.25
  4. Step 4: Simplify right side
    224,357.25x = 38,318,941,983.12
  5. Step 5: Solve for x
    x = 38,318,941,983.12/224,357.25
  6. Step 6: Final answer
    x = 170,794.31

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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.