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Finding the Fourth Proportional to 199,380.94, 299,195.90 and 132,867.74

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Solution

The fourth proportional to 199,380.94, 299,195.90 and 132,867.74 is: 199,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,380.94 : 299,195.90 = 132,867.74 : x
  2. Step 2: Convert to fraction form
    199,380.94/299,195.90 = 132,867.74/x
  3. Step 3: Cross multiply
    199,380.94x = 299,195.90 × 132,867.74
  4. Step 4: Simplify right side
    199,380.94x = 39,753,483,050.27
  5. Step 5: Solve for x
    x = 39,753,483,050.27/199,380.94
  6. Step 6: Final answer
    x = 199,384.57

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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.