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Finding the Fourth Proportional to 217,145.40, 326,078.75 and 146,522.31

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Solution

The fourth proportional to 217,145.40, 326,078.75 and 146,522.31 is: 220,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,145.40 : 326,078.75 = 146,522.31 : x
  2. Step 2: Convert to fraction form
    217,145.40/326,078.75 = 146,522.31/x
  3. Step 3: Cross multiply
    217,145.40x = 326,078.75 × 146,522.31
  4. Step 4: Simplify right side
    217,145.40x = 47,777,811,691.91
  5. Step 5: Solve for x
    x = 47,777,811,691.91/217,145.40
  6. Step 6: Final answer
    x = 220,026.82

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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.