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Finding the Fourth Proportional to 150,493.60, 225,401.20 and 116,952.48

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Solution

The fourth proportional to 150,493.60, 225,401.20 and 116,952.48 is: 175,165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,493.60 : 225,401.20 = 116,952.48 : x
  2. Step 2: Convert to fraction form
    150,493.60/225,401.20 = 116,952.48/x
  3. Step 3: Cross multiply
    150,493.60x = 225,401.20 × 116,952.48
  4. Step 4: Simplify right side
    150,493.60x = 26,361,229,334.98
  5. Step 5: Solve for x
    x = 26,361,229,334.98/150,493.60
  6. Step 6: Final answer
    x = 175,165.12

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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.