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Finding the Fourth Proportional to 217,338.30, 326,078.46 and 105,031.44

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Solution

The fourth proportional to 217,338.30, 326,078.46 and 105,031.44 is: 157,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,338.30 : 326,078.46 = 105,031.44 : x
  2. Step 2: Convert to fraction form
    217,338.30/326,078.46 = 105,031.44/x
  3. Step 3: Cross multiply
    217,338.30x = 326,078.46 × 105,031.44
  4. Step 4: Simplify right side
    217,338.30x = 34,248,490,206.78
  5. Step 5: Solve for x
    x = 34,248,490,206.78/217,338.30
  6. Step 6: Final answer
    x = 157,581.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.