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Finding the Fourth Proportional to 224,532.56, 309,853.44 and 123,930.56

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Solution

The fourth proportional to 224,532.56, 309,853.44 and 123,930.56 is: 171,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,532.56 : 309,853.44 = 123,930.56 : x
  2. Step 2: Convert to fraction form
    224,532.56/309,853.44 = 123,930.56/x
  3. Step 3: Cross multiply
    224,532.56x = 309,853.44 × 123,930.56
  4. Step 4: Simplify right side
    224,532.56x = 38,400,310,337.13
  5. Step 5: Solve for x
    x = 38,400,310,337.13/224,532.56
  6. Step 6: Final answer
    x = 171,023.35

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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.