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Finding the Fourth Proportional to 279,853.40, 419,780.10 and 161,463.80

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Solution

The fourth proportional to 279,853.40, 419,780.10 and 161,463.80 is: 242,195.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,853.40 : 419,780.10 = 161,463.80 : x
  2. Step 2: Convert to fraction form
    279,853.40/419,780.10 = 161,463.80/x
  3. Step 3: Cross multiply
    279,853.40x = 419,780.10 × 161,463.80
  4. Step 4: Simplify right side
    279,853.40x = 67,779,290,110.38
  5. Step 5: Solve for x
    x = 67,779,290,110.38/279,853.40
  6. Step 6: Final answer
    x = 242,195.70

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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.