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Finding the Fourth Proportional to 208,469.49, 287,535.99 and 132,001.03

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Solution

The fourth proportional to 208,469.49, 287,535.99 and 132,001.03 is: 182,065.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,469.49 : 287,535.99 = 132,001.03 : x
  2. Step 2: Convert to fraction form
    208,469.49/287,535.99 = 132,001.03/x
  3. Step 3: Cross multiply
    208,469.49x = 287,535.99 × 132,001.03
  4. Step 4: Simplify right side
    208,469.49x = 37,955,046,842.07
  5. Step 5: Solve for x
    x = 37,955,046,842.07/208,469.49
  6. Step 6: Final answer
    x = 182,065.24

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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.