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Finding the Fourth Proportional to 224,073.75, 309,236.76 and 123,471.75

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Solution

The fourth proportional to 224,073.75, 309,236.76 and 123,471.75 is: 170,399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,073.75 : 309,236.76 = 123,471.75 : x
  2. Step 2: Convert to fraction form
    224,073.75/309,236.76 = 123,471.75/x
  3. Step 3: Cross multiply
    224,073.75x = 309,236.76 × 123,471.75
  4. Step 4: Simplify right side
    224,073.75x = 38,182,003,921.53
  5. Step 5: Solve for x
    x = 38,182,003,921.53/224,073.75
  6. Step 6: Final answer
    x = 170,399.27

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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.