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Finding the Fourth Proportional to 242,169.73, 363,286.33 and 80,009.90

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Solution

The fourth proportional to 242,169.73, 363,286.33 and 80,009.90 is: 120,025.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,169.73 : 363,286.33 = 80,009.90 : x
  2. Step 2: Convert to fraction form
    242,169.73/363,286.33 = 80,009.90/x
  3. Step 3: Cross multiply
    242,169.73x = 363,286.33 × 80,009.90
  4. Step 4: Simplify right side
    242,169.73x = 29,066,502,934.67
  5. Step 5: Solve for x
    x = 29,066,502,934.67/242,169.73
  6. Step 6: Final answer
    x = 120,025.34

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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.