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Finding the Fourth Proportional to 279,165.13, 418,414.17 and 101,575.46

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Solution

The fourth proportional to 279,165.13, 418,414.17 and 101,575.46 is: 152,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,165.13 : 418,414.17 = 101,575.46 : x
  2. Step 2: Convert to fraction form
    279,165.13/418,414.17 = 101,575.46/x
  3. Step 3: Cross multiply
    279,165.13x = 418,414.17 × 101,575.46
  4. Step 4: Simplify right side
    279,165.13x = 42,500,611,788.27
  5. Step 5: Solve for x
    x = 42,500,611,788.27/279,165.13
  6. Step 6: Final answer
    x = 152,241.84

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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.