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Finding the Fourth Proportional to 217,260.40, 325,631.40 and 194,969.20

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Solution

The fourth proportional to 217,260.40, 325,631.40 and 194,969.20 is: 292,221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,260.40 : 325,631.40 = 194,969.20 : x
  2. Step 2: Convert to fraction form
    217,260.40/325,631.40 = 194,969.20/x
  3. Step 3: Cross multiply
    217,260.40x = 325,631.40 × 194,969.20
  4. Step 4: Simplify right side
    217,260.40x = 63,488,093,552.88
  5. Step 5: Solve for x
    x = 63,488,093,552.88/217,260.40
  6. Step 6: Final answer
    x = 292,221.19

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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.