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Finding the Fourth Proportional to 342,613.53, 513,624.78 and 164,876.04

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Solution

The fourth proportional to 342,613.53, 513,624.78 and 164,876.04 is: 247,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,613.53 : 513,624.78 = 164,876.04 : x
  2. Step 2: Convert to fraction form
    342,613.53/513,624.78 = 164,876.04/x
  3. Step 3: Cross multiply
    342,613.53x = 513,624.78 × 164,876.04
  4. Step 4: Simplify right side
    342,613.53x = 84,684,419,772.27
  5. Step 5: Solve for x
    x = 84,684,419,772.27/342,613.53
  6. Step 6: Final answer
    x = 247,171.85

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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.