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Finding the Fourth Proportional to 217,414.10, 326,121.15 and 105,148.10

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Solution

The fourth proportional to 217,414.10, 326,121.15 and 105,148.10 is: 157,722.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,414.10 : 326,121.15 = 105,148.10 : x
  2. Step 2: Convert to fraction form
    217,414.10/326,121.15 = 105,148.10/x
  3. Step 3: Cross multiply
    217,414.10x = 326,121.15 × 105,148.10
  4. Step 4: Simplify right side
    217,414.10x = 34,291,019,292.32
  5. Step 5: Solve for x
    x = 34,291,019,292.32/217,414.10
  6. Step 6: Final answer
    x = 157,722.15

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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.