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Finding the Fourth Proportional to 124,224.39, 171,257.40 and 83,874.24

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Solution

The fourth proportional to 124,224.39, 171,257.40 and 83,874.24 is: 115,630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,224.39 : 171,257.40 = 83,874.24 : x
  2. Step 2: Convert to fraction form
    124,224.39/171,257.40 = 83,874.24/x
  3. Step 3: Cross multiply
    124,224.39x = 171,257.40 × 83,874.24
  4. Step 4: Simplify right side
    124,224.39x = 14,364,084,269.38
  5. Step 5: Solve for x
    x = 14,364,084,269.38/124,224.39
  6. Step 6: Final answer
    x = 115,630.15

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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.