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Finding the Fourth Proportional to 361,780.86, 542,673.72 and 109,062.08

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Solution

The fourth proportional to 361,780.86, 542,673.72 and 109,062.08 is: 163,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,780.86 : 542,673.72 = 109,062.08 : x
  2. Step 2: Convert to fraction form
    361,780.86/542,673.72 = 109,062.08/x
  3. Step 3: Cross multiply
    361,780.86x = 542,673.72 × 109,062.08
  4. Step 4: Simplify right side
    361,780.86x = 59,185,121,951.17
  5. Step 5: Solve for x
    x = 59,185,121,951.17/361,780.86
  6. Step 6: Final answer
    x = 163,593.85

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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.