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Finding the Fourth Proportional to 253,742.62, 350,186.16 and 140,575.90

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Solution

The fourth proportional to 253,742.62, 350,186.16 and 140,575.90 is: 194,006.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,742.62 : 350,186.16 = 140,575.90 : x
  2. Step 2: Convert to fraction form
    253,742.62/350,186.16 = 140,575.90/x
  3. Step 3: Cross multiply
    253,742.62x = 350,186.16 × 140,575.90
  4. Step 4: Simplify right side
    253,742.62x = 49,227,734,609.54
  5. Step 5: Solve for x
    x = 49,227,734,609.54/253,742.62
  6. Step 6: Final answer
    x = 194,006.57

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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.