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Finding the Fourth Proportional to 453,523.82, 680,261.13 and 137,956.13

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Solution

The fourth proportional to 453,523.82, 680,261.13 and 137,956.13 is: 206,926.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,523.82 : 680,261.13 = 137,956.13 : x
  2. Step 2: Convert to fraction form
    453,523.82/680,261.13 = 137,956.13/x
  3. Step 3: Cross multiply
    453,523.82x = 680,261.13 × 137,956.13
  4. Step 4: Simplify right side
    453,523.82x = 93,846,192,884.23
  5. Step 5: Solve for x
    x = 93,846,192,884.23/453,523.82
  6. Step 6: Final answer
    x = 206,926.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.