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Finding the Fourth Proportional to 217,518.96, 326,239.56 and 138,398.16

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Solution

The fourth proportional to 217,518.96, 326,239.56 and 138,398.16 is: 207,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,518.96 : 326,239.56 = 138,398.16 : x
  2. Step 2: Convert to fraction form
    217,518.96/326,239.56 = 138,398.16/x
  3. Step 3: Cross multiply
    217,518.96x = 326,239.56 × 138,398.16
  4. Step 4: Simplify right side
    217,518.96x = 45,150,954,823.21
  5. Step 5: Solve for x
    x = 45,150,954,823.21/217,518.96
  6. Step 6: Final answer
    x = 207,572.50

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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.