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Finding the Fourth Proportional to 263,514.65, 363,650.13 and 142,655.85

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Solution

The fourth proportional to 263,514.65, 363,650.13 and 142,655.85 is: 196,865.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,514.65 : 363,650.13 = 142,655.85 : x
  2. Step 2: Convert to fraction form
    263,514.65/363,650.13 = 142,655.85/x
  3. Step 3: Cross multiply
    263,514.65x = 363,650.13 × 142,655.85
  4. Step 4: Simplify right side
    263,514.65x = 51,876,818,397.76
  5. Step 5: Solve for x
    x = 51,876,818,397.76/263,514.65
  6. Step 6: Final answer
    x = 196,865.03

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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.