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Finding the Fourth Proportional to 150,866.61, 208,195.05 and 82,882.11

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Solution

The fourth proportional to 150,866.61, 208,195.05 and 82,882.11 is: 114,376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,866.61 : 208,195.05 = 82,882.11 : x
  2. Step 2: Convert to fraction form
    150,866.61/208,195.05 = 82,882.11/x
  3. Step 3: Cross multiply
    150,866.61x = 208,195.05 × 82,882.11
  4. Step 4: Simplify right side
    150,866.61x = 17,255,645,035.56
  5. Step 5: Solve for x
    x = 17,255,645,035.56/150,866.61
  6. Step 6: Final answer
    x = 114,376.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.