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Finding the Fourth Proportional to 361,514.61, 542,347.76 and 108,813.58

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Solution

The fourth proportional to 361,514.61, 542,347.76 and 108,813.58 is: 163,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,514.61 : 542,347.76 = 108,813.58 : x
  2. Step 2: Convert to fraction form
    361,514.61/542,347.76 = 108,813.58/x
  3. Step 3: Cross multiply
    361,514.61x = 542,347.76 × 108,813.58
  4. Step 4: Simplify right side
    361,514.61x = 59,014,800,286.75
  5. Step 5: Solve for x
    x = 59,014,800,286.75/361,514.61
  6. Step 6: Final answer
    x = 163,243.20

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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.