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Finding the Fourth Proportional to 225,887.50, 338,862.48 and 76,170.66

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Solution

The fourth proportional to 225,887.50, 338,862.48 and 76,170.66 is: 114,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,887.50 : 338,862.48 = 76,170.66 : x
  2. Step 2: Convert to fraction form
    225,887.50/338,862.48 = 76,170.66/x
  3. Step 3: Cross multiply
    225,887.50x = 338,862.48 × 76,170.66
  4. Step 4: Simplify right side
    225,887.50x = 25,811,378,750.84
  5. Step 5: Solve for x
    x = 25,811,378,750.84/225,887.50
  6. Step 6: Final answer
    x = 114,266.52

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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.