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Finding the Fourth Proportional to 224,194.78, 309,390.87 and 123,596.38

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Solution

The fourth proportional to 224,194.78, 309,390.87 and 123,596.38 is: 170,564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,194.78 : 309,390.87 = 123,596.38 : x
  2. Step 2: Convert to fraction form
    224,194.78/309,390.87 = 123,596.38/x
  3. Step 3: Cross multiply
    224,194.78x = 309,390.87 × 123,596.38
  4. Step 4: Simplify right side
    224,194.78x = 38,239,591,537.05
  5. Step 5: Solve for x
    x = 38,239,591,537.05/224,194.78
  6. Step 6: Final answer
    x = 170,564.15

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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.