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Finding the Fourth Proportional to 199,624.20, 299,436.30 and 120,697.80

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Solution

The fourth proportional to 199,624.20, 299,436.30 and 120,697.80 is: 181,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,624.20 : 299,436.30 = 120,697.80 : x
  2. Step 2: Convert to fraction form
    199,624.20/299,436.30 = 120,697.80/x
  3. Step 3: Cross multiply
    199,624.20x = 299,436.30 × 120,697.80
  4. Step 4: Simplify right side
    199,624.20x = 36,141,302,650.14
  5. Step 5: Solve for x
    x = 36,141,302,650.14/199,624.20
  6. Step 6: Final answer
    x = 181,046.70

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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.