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Finding the Fourth Proportional to 269,842.86, 404,690.38 and 101,350.16

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Solution

The fourth proportional to 269,842.86, 404,690.38 and 101,350.16 is: 151,997.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,842.86 : 404,690.38 = 101,350.16 : x
  2. Step 2: Convert to fraction form
    269,842.86/404,690.38 = 101,350.16/x
  3. Step 3: Cross multiply
    269,842.86x = 404,690.38 × 101,350.16
  4. Step 4: Simplify right side
    269,842.86x = 41,015,434,763.46
  5. Step 5: Solve for x
    x = 41,015,434,763.46/269,842.86
  6. Step 6: Final answer
    x = 151,997.48

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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.