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Finding the Fourth Proportional to 100,209.72, 138,382.38 and 75,015.48

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Solution

The fourth proportional to 100,209.72, 138,382.38 and 75,015.48 is: 103,590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,209.72 : 138,382.38 = 75,015.48 : x
  2. Step 2: Convert to fraction form
    100,209.72/138,382.38 = 75,015.48/x
  3. Step 3: Cross multiply
    100,209.72x = 138,382.38 × 75,015.48
  4. Step 4: Simplify right side
    100,209.72x = 10,380,820,659.24
  5. Step 5: Solve for x
    x = 10,380,820,659.24/100,209.72
  6. Step 6: Final answer
    x = 103,590.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.