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Finding the Fourth Proportional to 171,408.80, 257,113.20 and 71,535.80

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Solution

The fourth proportional to 171,408.80, 257,113.20 and 71,535.80 is: 107,303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,408.80 : 257,113.20 = 71,535.80 : x
  2. Step 2: Convert to fraction form
    171,408.80/257,113.20 = 71,535.80/x
  3. Step 3: Cross multiply
    171,408.80x = 257,113.20 × 71,535.80
  4. Step 4: Simplify right side
    171,408.80x = 18,392,798,452.56
  5. Step 5: Solve for x
    x = 18,392,798,452.56/171,408.80
  6. Step 6: Final answer
    x = 107,303.70

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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.