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Finding the Fourth Proportional to 225,431.75, 338,170.22 and 83,314.40

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Solution

The fourth proportional to 225,431.75, 338,170.22 and 83,314.40 is: 124,979.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,431.75 : 338,170.22 = 83,314.40 : x
  2. Step 2: Convert to fraction form
    225,431.75/338,170.22 = 83,314.40/x
  3. Step 3: Cross multiply
    225,431.75x = 338,170.22 × 83,314.40
  4. Step 4: Simplify right side
    225,431.75x = 28,174,446,869.74
  5. Step 5: Solve for x
    x = 28,174,446,869.74/225,431.75
  6. Step 6: Final answer
    x = 124,979.94

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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.