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Finding the Fourth Proportional to 342,181.80, 513,272.70 and 165,034.80

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Solution

The fourth proportional to 342,181.80, 513,272.70 and 165,034.80 is: 247,552.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,181.80 : 513,272.70 = 165,034.80 : x
  2. Step 2: Convert to fraction form
    342,181.80/513,272.70 = 165,034.80/x
  3. Step 3: Cross multiply
    342,181.80x = 513,272.70 × 165,034.80
  4. Step 4: Simplify right side
    342,181.80x = 84,707,857,389.96
  5. Step 5: Solve for x
    x = 84,707,857,389.96/342,181.80
  6. Step 6: Final answer
    x = 247,552.20

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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.