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Finding the Fourth Proportional to 217,026.90, 325,540.35 and 133,046.10

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Solution

The fourth proportional to 217,026.90, 325,540.35 and 133,046.10 is: 199,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,026.90 : 325,540.35 = 133,046.10 : x
  2. Step 2: Convert to fraction form
    217,026.90/325,540.35 = 133,046.10/x
  3. Step 3: Cross multiply
    217,026.90x = 325,540.35 × 133,046.10
  4. Step 4: Simplify right side
    217,026.90x = 43,311,873,960.14
  5. Step 5: Solve for x
    x = 43,311,873,960.14/217,026.90
  6. Step 6: Final answer
    x = 199,569.15

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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.