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Finding the Fourth Proportional to 208,393.92, 287,649.09 and 132,942.42

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Solution

The fourth proportional to 208,393.92, 287,649.09 and 132,942.42 is: 183,502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,393.92 : 287,649.09 = 132,942.42 : x
  2. Step 2: Convert to fraction form
    208,393.92/287,649.09 = 132,942.42/x
  3. Step 3: Cross multiply
    208,393.92x = 287,649.09 × 132,942.42
  4. Step 4: Simplify right side
    208,393.92x = 38,240,766,135.40
  5. Step 5: Solve for x
    x = 38,240,766,135.40/208,393.92
  6. Step 6: Final answer
    x = 183,502.31

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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.