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Finding the Fourth Proportional to 208,694.07, 287,861.65 and 132,133.38

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Solution

The fourth proportional to 208,694.07, 287,861.65 and 132,133.38 is: 182,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,694.07 : 287,861.65 = 132,133.38 : x
  2. Step 2: Convert to fraction form
    208,694.07/287,861.65 = 132,133.38/x
  3. Step 3: Cross multiply
    208,694.07x = 287,861.65 × 132,133.38
  4. Step 4: Simplify right side
    208,694.07x = 38,036,131,377.06
  5. Step 5: Solve for x
    x = 38,036,131,377.06/208,694.07
  6. Step 6: Final answer
    x = 182,257.84

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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.