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Finding the Fourth Proportional to 342,209.80, 513,314.70 and 142,463.80

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Solution

The fourth proportional to 342,209.80, 513,314.70 and 142,463.80 is: 213,695.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,209.80 : 513,314.70 = 142,463.80 : x
  2. Step 2: Convert to fraction form
    342,209.80/513,314.70 = 142,463.80/x
  3. Step 3: Cross multiply
    342,209.80x = 513,314.70 × 142,463.80
  4. Step 4: Simplify right side
    342,209.80x = 73,128,762,757.86
  5. Step 5: Solve for x
    x = 73,128,762,757.86/342,209.80
  6. Step 6: Final answer
    x = 213,695.70

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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.