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Finding the Fourth Proportional to 224,398.26, 309,669.58 and 123,796.26

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Solution

The fourth proportional to 224,398.26, 309,669.58 and 123,796.26 is: 170,838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,398.26 : 309,669.58 = 123,796.26 : x
  2. Step 2: Convert to fraction form
    224,398.26/309,669.58 = 123,796.26/x
  3. Step 3: Cross multiply
    224,398.26x = 309,669.58 × 123,796.26
  4. Step 4: Simplify right side
    224,398.26x = 38,335,935,839.77
  5. Step 5: Solve for x
    x = 38,335,935,839.77/224,398.26
  6. Step 6: Final answer
    x = 170,838.83

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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.