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Finding the Fourth Proportional to 217,414.10, 326,123.66 and 65,612.50

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Solution

The fourth proportional to 217,414.10, 326,123.66 and 65,612.50 is: 98,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,414.10 : 326,123.66 = 65,612.50 : x
  2. Step 2: Convert to fraction form
    217,414.10/326,123.66 = 65,612.50/x
  3. Step 3: Cross multiply
    217,414.10x = 326,123.66 × 65,612.50
  4. Step 4: Simplify right side
    217,414.10x = 21,397,788,641.75
  5. Step 5: Solve for x
    x = 21,397,788,641.75/217,414.10
  6. Step 6: Final answer
    x = 98,419.51

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Why These Related Problems?

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