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Finding the Fourth Proportional to 144,902.20, 217,353.30 and 109,910.20

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Solution

The fourth proportional to 144,902.20, 217,353.30 and 109,910.20 is: 164,865.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,902.20 : 217,353.30 = 109,910.20 : x
  2. Step 2: Convert to fraction form
    144,902.20/217,353.30 = 109,910.20/x
  3. Step 3: Cross multiply
    144,902.20x = 217,353.30 × 109,910.20
  4. Step 4: Simplify right side
    144,902.20x = 23,889,344,673.66
  5. Step 5: Solve for x
    x = 23,889,344,673.66/144,902.20
  6. Step 6: Final answer
    x = 164,865.30

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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.