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Finding the Fourth Proportional to 224,610.32, 309,954.12 and 124,006.16

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Solution

The fourth proportional to 224,610.32, 309,954.12 and 124,006.16 is: 171,124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,610.32 : 309,954.12 = 124,006.16 : x
  2. Step 2: Convert to fraction form
    224,610.32/309,954.12 = 124,006.16/x
  3. Step 3: Cross multiply
    224,610.32x = 309,954.12 × 124,006.16
  4. Step 4: Simplify right side
    224,610.32x = 38,436,220,197.38
  5. Step 5: Solve for x
    x = 38,436,220,197.38/224,610.32
  6. Step 6: Final answer
    x = 171,124.02

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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.