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Finding the Fourth Proportional to 217,278.40, 325,723.20 and 142,434.40

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Solution

The fourth proportional to 217,278.40, 325,723.20 and 142,434.40 is: 213,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,278.40 : 325,723.20 = 142,434.40 : x
  2. Step 2: Convert to fraction form
    217,278.40/325,723.20 = 142,434.40/x
  3. Step 3: Cross multiply
    217,278.40x = 325,723.20 × 142,434.40
  4. Step 4: Simplify right side
    217,278.40x = 46,394,188,558.08
  5. Step 5: Solve for x
    x = 46,394,188,558.08/217,278.40
  6. Step 6: Final answer
    x = 213,524.16

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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.