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Finding the Fourth Proportional to 217,085.97, 299,578.64 and 132,203.03

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Solution

The fourth proportional to 217,085.97, 299,578.64 and 132,203.03 is: 182,440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,085.97 : 299,578.64 = 132,203.03 : x
  2. Step 2: Convert to fraction form
    217,085.97/299,578.64 = 132,203.03/x
  3. Step 3: Cross multiply
    217,085.97x = 299,578.64 × 132,203.03
  4. Step 4: Simplify right side
    217,085.97x = 39,605,205,010.73
  5. Step 5: Solve for x
    x = 39,605,205,010.73/217,085.97
  6. Step 6: Final answer
    x = 182,440.19

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1.5x scale

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.