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Finding the Fourth Proportional to 224,513.56, 309,827.19 and 123,911.56

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Solution

The fourth proportional to 224,513.56, 309,827.19 and 123,911.56 is: 170,997.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,513.56 : 309,827.19 = 123,911.56 : x
  2. Step 2: Convert to fraction form
    224,513.56/309,827.19 = 123,911.56/x
  3. Step 3: Cross multiply
    224,513.56x = 309,827.19 × 123,911.56
  4. Step 4: Simplify right side
    224,513.56x = 38,391,170,443.32
  5. Step 5: Solve for x
    x = 38,391,170,443.32/224,513.56
  6. Step 6: Final answer
    x = 170,997.11

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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.