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Finding the Fourth Proportional to 217,423.72, 326,757.66 and 106,693.48

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Solution

The fourth proportional to 217,423.72, 326,757.66 and 106,693.48 is: 160,345.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,423.72 : 326,757.66 = 106,693.48 : x
  2. Step 2: Convert to fraction form
    217,423.72/326,757.66 = 106,693.48/x
  3. Step 3: Cross multiply
    217,423.72x = 326,757.66 × 106,693.48
  4. Step 4: Simplify right side
    217,423.72x = 34,862,911,862.06
  5. Step 5: Solve for x
    x = 34,862,911,862.06/217,423.72
  6. Step 6: Final answer
    x = 160,345.49

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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.