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Finding the Fourth Proportional to 342,002.97, 513,013.19 and 162,046.17

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Solution

The fourth proportional to 342,002.97, 513,013.19 and 162,046.17 is: 243,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,002.97 : 513,013.19 = 162,046.17 : x
  2. Step 2: Convert to fraction form
    342,002.97/513,013.19 = 162,046.17/x
  3. Step 3: Cross multiply
    342,002.97x = 513,013.19 × 162,046.17
  4. Step 4: Simplify right side
    342,002.97x = 83,131,821,788.75
  5. Step 5: Solve for x
    x = 83,131,821,788.75/342,002.97
  6. Step 6: Final answer
    x = 243,073.39

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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.