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Finding the Fourth Proportional to 208,514.26, 287,780.42 and 132,040.34

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Solution

The fourth proportional to 208,514.26, 287,780.42 and 132,040.34 is: 182,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,514.26 : 287,780.42 = 132,040.34 : x
  2. Step 2: Convert to fraction form
    208,514.26/287,780.42 = 132,040.34/x
  3. Step 3: Cross multiply
    208,514.26x = 287,780.42 × 132,040.34
  4. Step 4: Simplify right side
    208,514.26x = 37,998,624,502.14
  5. Step 5: Solve for x
    x = 37,998,624,502.14/208,514.26
  6. Step 6: Final answer
    x = 182,235.14

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