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Finding the Fourth Proportional to 225,595.32, 338,380.53 and 75,820.15

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Solution

The fourth proportional to 225,595.32, 338,380.53 and 75,820.15 is: 113,726.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,595.32 : 338,380.53 = 75,820.15 : x
  2. Step 2: Convert to fraction form
    225,595.32/338,380.53 = 75,820.15/x
  3. Step 3: Cross multiply
    225,595.32x = 338,380.53 × 75,820.15
  4. Step 4: Simplify right side
    225,595.32x = 25,656,060,776.94
  5. Step 5: Solve for x
    x = 25,656,060,776.94/225,595.32
  6. Step 6: Final answer
    x = 113,726.03

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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.