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Finding the Fourth Proportional to 224,197.78, 309,395.33 and 123,599.38

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Solution

The fourth proportional to 224,197.78, 309,395.33 and 123,599.38 is: 170,568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,197.78 : 309,395.33 = 123,599.38 : x
  2. Step 2: Convert to fraction form
    224,197.78/309,395.33 = 123,599.38/x
  3. Step 3: Cross multiply
    224,197.78x = 309,395.33 × 123,599.38
  4. Step 4: Simplify right side
    224,197.78x = 38,241,070,962.90
  5. Step 5: Solve for x
    x = 38,241,070,962.90/224,197.78
  6. Step 6: Final answer
    x = 170,568.46

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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.