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Finding the Fourth Proportional to 109,233.70, 164,023.35 and 79,857.70

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Solution

The fourth proportional to 109,233.70, 164,023.35 and 79,857.70 is: 119,912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,233.70 : 164,023.35 = 79,857.70 : x
  2. Step 2: Convert to fraction form
    109,233.70/164,023.35 = 79,857.70/x
  3. Step 3: Cross multiply
    109,233.70x = 164,023.35 × 79,857.70
  4. Step 4: Simplify right side
    109,233.70x = 13,098,527,477.30
  5. Step 5: Solve for x
    x = 13,098,527,477.30/109,233.70
  6. Step 6: Final answer
    x = 119,912.88

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1.5x scale

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.