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Finding the Fourth Proportional to 109,902.20, 164,723.70 and 46,722.20

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Solution

The fourth proportional to 109,902.20, 164,723.70 and 46,722.20 is: 70,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,902.20 : 164,723.70 = 46,722.20 : x
  2. Step 2: Convert to fraction form
    109,902.20/164,723.70 = 46,722.20/x
  3. Step 3: Cross multiply
    109,902.20x = 164,723.70 × 46,722.20
  4. Step 4: Simplify right side
    109,902.20x = 7,696,253,656.14
  5. Step 5: Solve for x
    x = 7,696,253,656.14/109,902.20
  6. Step 6: Final answer
    x = 70,028.20

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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.