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Finding the Fourth Proportional to 342,143.80, 513,167.10 and 117,514.60

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Solution

The fourth proportional to 342,143.80, 513,167.10 and 117,514.60 is: 176,255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,143.80 : 513,167.10 = 117,514.60 : x
  2. Step 2: Convert to fraction form
    342,143.80/513,167.10 = 117,514.60/x
  3. Step 3: Cross multiply
    342,143.80x = 513,167.10 × 117,514.60
  4. Step 4: Simplify right side
    342,143.80x = 60,304,626,489.66
  5. Step 5: Solve for x
    x = 60,304,626,489.66/342,143.80
  6. Step 6: Final answer
    x = 176,255.21

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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.