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Finding the Fourth Proportional to 342,184.70, 472,217.96 and 189,233.25

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Solution

The fourth proportional to 342,184.70, 472,217.96 and 189,233.25 is: 261,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,184.70 : 472,217.96 = 189,233.25 : x
  2. Step 2: Convert to fraction form
    342,184.70/472,217.96 = 189,233.25/x
  3. Step 3: Cross multiply
    342,184.70x = 472,217.96 × 189,233.25
  4. Step 4: Simplify right side
    342,184.70x = 89,359,340,867.02
  5. Step 5: Solve for x
    x = 89,359,340,867.02/342,184.70
  6. Step 6: Final answer
    x = 261,143.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.