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Finding the Fourth Proportional to 198,113.75, 296,645.74 and 104,422.67

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Solution

The fourth proportional to 198,113.75, 296,645.74 and 104,422.67 is: 156,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,113.75 : 296,645.74 = 104,422.67 : x
  2. Step 2: Convert to fraction form
    198,113.75/296,645.74 = 104,422.67/x
  3. Step 3: Cross multiply
    198,113.75x = 296,645.74 × 104,422.67
  4. Step 4: Simplify right side
    198,113.75x = 30,976,540,214.93
  5. Step 5: Solve for x
    x = 30,976,540,214.93/198,113.75
  6. Step 6: Final answer
    x = 156,357.35

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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.