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Finding the Fourth Proportional to 224,062.56, 309,207.24 and 123,460.56

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Solution

The fourth proportional to 224,062.56, 309,207.24 and 123,460.56 is: 170,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,062.56 : 309,207.24 = 123,460.56 : x
  2. Step 2: Convert to fraction form
    224,062.56/309,207.24 = 123,460.56/x
  3. Step 3: Cross multiply
    224,062.56x = 309,207.24 × 123,460.56
  4. Step 4: Simplify right side
    224,062.56x = 38,174,899,006.45
  5. Step 5: Solve for x
    x = 38,174,899,006.45/224,062.56
  6. Step 6: Final answer
    x = 170,376.07

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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.