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Finding the Fourth Proportional to 225,650.64, 338,475.96 and 114,920.40

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Solution

The fourth proportional to 225,650.64, 338,475.96 and 114,920.40 is: 172,380.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,650.64 : 338,475.96 = 114,920.40 : x
  2. Step 2: Convert to fraction form
    225,650.64/338,475.96 = 114,920.40/x
  3. Step 3: Cross multiply
    225,650.64x = 338,475.96 × 114,920.40
  4. Step 4: Simplify right side
    225,650.64x = 38,897,792,713.58
  5. Step 5: Solve for x
    x = 38,897,792,713.58/225,650.64
  6. Step 6: Final answer
    x = 172,380.60

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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.