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Finding the Fourth Proportional to 224,346.97, 309,577.30 and 123,738.49

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Solution

The fourth proportional to 224,346.97, 309,577.30 and 123,738.49 is: 170,747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,346.97 : 309,577.30 = 123,738.49 : x
  2. Step 2: Convert to fraction form
    224,346.97/309,577.30 = 123,738.49/x
  3. Step 3: Cross multiply
    224,346.97x = 309,577.30 × 123,738.49
  4. Step 4: Simplify right side
    224,346.97x = 38,306,627,640.28
  5. Step 5: Solve for x
    x = 38,306,627,640.28/224,346.97
  6. Step 6: Final answer
    x = 170,747.25

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1.5x scale

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.