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Finding the Fourth Proportional to 225,778.88, 338,431.23 and 75,967.16

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Solution

The fourth proportional to 225,778.88, 338,431.23 and 75,967.16 is: 113,870.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,778.88 : 338,431.23 = 75,967.16 : x
  2. Step 2: Convert to fraction form
    225,778.88/338,431.23 = 75,967.16/x
  3. Step 3: Cross multiply
    225,778.88x = 338,431.23 × 75,967.16
  4. Step 4: Simplify right side
    225,778.88x = 25,709,657,706.25
  5. Step 5: Solve for x
    x = 25,709,657,706.25/225,778.88
  6. Step 6: Final answer
    x = 113,870.96

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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.