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Finding the Fourth Proportional to 217,538.83, 326,295.06 and 129,353.50

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Solution

The fourth proportional to 217,538.83, 326,295.06 and 129,353.50 is: 194,022.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,538.83 : 326,295.06 = 129,353.50 : x
  2. Step 2: Convert to fraction form
    217,538.83/326,295.06 = 129,353.50/x
  3. Step 3: Cross multiply
    217,538.83x = 326,295.06 × 129,353.50
  4. Step 4: Simplify right side
    217,538.83x = 42,207,408,043.71
  5. Step 5: Solve for x
    x = 42,207,408,043.71/217,538.83
  6. Step 6: Final answer
    x = 194,022.41

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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.