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Finding the Fourth Proportional to 217,042.30, 325,649.16 and 67,294.36

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Solution

The fourth proportional to 217,042.30, 325,649.16 and 67,294.36 is: 100,968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,042.30 : 325,649.16 = 67,294.36 : x
  2. Step 2: Convert to fraction form
    217,042.30/325,649.16 = 67,294.36/x
  3. Step 3: Cross multiply
    217,042.30x = 325,649.16 × 67,294.36
  4. Step 4: Simplify right side
    217,042.30x = 21,914,351,806.74
  5. Step 5: Solve for x
    x = 21,914,351,806.74/217,042.30
  6. Step 6: Final answer
    x = 100,968.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.