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Finding the Fourth Proportional to 279,189.48, 418,922.61 and 110,706.20

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Solution

The fourth proportional to 279,189.48, 418,922.61 and 110,706.20 is: 166,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,189.48 : 418,922.61 = 110,706.20 : x
  2. Step 2: Convert to fraction form
    279,189.48/418,922.61 = 110,706.20/x
  3. Step 3: Cross multiply
    279,189.48x = 418,922.61 × 110,706.20
  4. Step 4: Simplify right side
    279,189.48x = 46,377,327,599.04
  5. Step 5: Solve for x
    x = 46,377,327,599.04/279,189.48
  6. Step 6: Final answer
    x = 166,114.17

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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.