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Finding the Fourth Proportional to 217,152.30, 326,020.05 and 138,614.70

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Solution

The fourth proportional to 217,152.30, 326,020.05 and 138,614.70 is: 208,108.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,152.30 : 326,020.05 = 138,614.70 : x
  2. Step 2: Convert to fraction form
    217,152.30/326,020.05 = 138,614.70/x
  3. Step 3: Cross multiply
    217,152.30x = 326,020.05 × 138,614.70
  4. Step 4: Simplify right side
    217,152.30x = 45,191,171,424.74
  5. Step 5: Solve for x
    x = 45,191,171,424.74/217,152.30
  6. Step 6: Final answer
    x = 208,108.19

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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.