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Finding the Fourth Proportional to 342,113.20, 513,169.80 and 202,145.20

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Solution

The fourth proportional to 342,113.20, 513,169.80 and 202,145.20 is: 303,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,113.20 : 513,169.80 = 202,145.20 : x
  2. Step 2: Convert to fraction form
    342,113.20/513,169.80 = 202,145.20/x
  3. Step 3: Cross multiply
    342,113.20x = 513,169.80 × 202,145.20
  4. Step 4: Simplify right side
    342,113.20x = 103,734,811,854.96
  5. Step 5: Solve for x
    x = 103,734,811,854.96/342,113.20
  6. Step 6: Final answer
    x = 303,217.80

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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.