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Finding the Fourth Proportional to 272,042.70, 408,064.05 and 188,061.90

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Solution

The fourth proportional to 272,042.70, 408,064.05 and 188,061.90 is: 282,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,042.70 : 408,064.05 = 188,061.90 : x
  2. Step 2: Convert to fraction form
    272,042.70/408,064.05 = 188,061.90/x
  3. Step 3: Cross multiply
    272,042.70x = 408,064.05 × 188,061.90
  4. Step 4: Simplify right side
    272,042.70x = 76,741,300,564.70
  5. Step 5: Solve for x
    x = 76,741,300,564.70/272,042.70
  6. Step 6: Final answer
    x = 282,092.85

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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.