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Finding the Fourth Proportional to 361,514.85, 542,348.13 and 108,813.82

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Solution

The fourth proportional to 361,514.85, 542,348.13 and 108,813.82 is: 163,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,514.85 : 542,348.13 = 108,813.82 : x
  2. Step 2: Convert to fraction form
    361,514.85/542,348.13 = 108,813.82/x
  3. Step 3: Cross multiply
    361,514.85x = 542,348.13 × 108,813.82
  4. Step 4: Simplify right side
    361,514.85x = 59,014,971,795.16
  5. Step 5: Solve for x
    x = 59,014,971,795.16/361,514.85
  6. Step 6: Final answer
    x = 163,243.56

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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.