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Finding the Fourth Proportional to 262,197.60, 393,311.04 and 75,204

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Solution

The fourth proportional to 262,197.60, 393,311.04 and 75,204 is: 112,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,197.60 : 393,311.04 = 75,204 : x
  2. Step 2: Convert to fraction form
    262,197.60/393,311.04 = 75,204/x
  3. Step 3: Cross multiply
    262,197.60x = 393,311.04 × 75,204
  4. Step 4: Simplify right side
    262,197.60x = 29,578,563,452.16
  5. Step 5: Solve for x
    x = 29,578,563,452.16/262,197.60
  6. Step 6: Final answer
    x = 112,810.20

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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.