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Finding the Fourth Proportional to 217,409.92, 326,060.16 and 84,244.48

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Solution

The fourth proportional to 217,409.92, 326,060.16 and 84,244.48 is: 126,345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,409.92 : 326,060.16 = 84,244.48 : x
  2. Step 2: Convert to fraction form
    217,409.92/326,060.16 = 84,244.48/x
  3. Step 3: Cross multiply
    217,409.92x = 326,060.16 × 84,244.48
  4. Step 4: Simplify right side
    217,409.92x = 27,468,768,627.92
  5. Step 5: Solve for x
    x = 27,468,768,627.92/217,409.92
  6. Step 6: Final answer
    x = 126,345.52

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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.