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Finding the Fourth Proportional to 224,504.72, 309,815.88 and 123,902

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Solution

The fourth proportional to 224,504.72, 309,815.88 and 123,902 is: 170,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,504.72 : 309,815.88 = 123,902 : x
  2. Step 2: Convert to fraction form
    224,504.72/309,815.88 = 123,902/x
  3. Step 3: Cross multiply
    224,504.72x = 309,815.88 × 123,902
  4. Step 4: Simplify right side
    224,504.72x = 38,386,807,163.76
  5. Step 5: Solve for x
    x = 38,386,807,163.76/224,504.72
  6. Step 6: Final answer
    x = 170,984.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.