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Finding the Fourth Proportional to 299,952.68, 449,780.70 and 100,204.52

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Solution

The fourth proportional to 299,952.68, 449,780.70 and 100,204.52 is: 150,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,952.68 : 449,780.70 = 100,204.52 : x
  2. Step 2: Convert to fraction form
    299,952.68/449,780.70 = 100,204.52/x
  3. Step 3: Cross multiply
    299,952.68x = 449,780.70 × 100,204.52
  4. Step 4: Simplify right side
    299,952.68x = 45,070,059,148.76
  5. Step 5: Solve for x
    x = 45,070,059,148.76/299,952.68
  6. Step 6: Final answer
    x = 150,257.23

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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.