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Finding the Fourth Proportional to 224,033.86, 309,166.55 and 123,431.86

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Solution

The fourth proportional to 224,033.86, 309,166.55 and 123,431.86 is: 170,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,033.86 : 309,166.55 = 123,431.86 : x
  2. Step 2: Convert to fraction form
    224,033.86/309,166.55 = 123,431.86/x
  3. Step 3: Cross multiply
    224,033.86x = 309,166.55 × 123,431.86
  4. Step 4: Simplify right side
    224,033.86x = 38,161,002,316.28
  5. Step 5: Solve for x
    x = 38,161,002,316.28/224,033.86
  6. Step 6: Final answer
    x = 170,335.87

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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.