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Finding the Fourth Proportional to 208,045.10, 312,067.65 and 187,049.90

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Solution

The fourth proportional to 208,045.10, 312,067.65 and 187,049.90 is: 280,574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,045.10 : 312,067.65 = 187,049.90 : x
  2. Step 2: Convert to fraction form
    208,045.10/312,067.65 = 187,049.90/x
  3. Step 3: Cross multiply
    208,045.10x = 312,067.65 × 187,049.90
  4. Step 4: Simplify right side
    208,045.10x = 58,372,222,725.74
  5. Step 5: Solve for x
    x = 58,372,222,725.74/208,045.10
  6. Step 6: Final answer
    x = 280,574.85

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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.