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Finding the Fourth Proportional to 217,419.60, 326,129.40 and 180,021.90

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Solution

The fourth proportional to 217,419.60, 326,129.40 and 180,021.90 is: 270,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,419.60 : 326,129.40 = 180,021.90 : x
  2. Step 2: Convert to fraction form
    217,419.60/326,129.40 = 180,021.90/x
  3. Step 3: Cross multiply
    217,419.60x = 326,129.40 × 180,021.90
  4. Step 4: Simplify right side
    217,419.60x = 58,710,434,233.86
  5. Step 5: Solve for x
    x = 58,710,434,233.86/217,419.60
  6. Step 6: Final answer
    x = 270,032.85

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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.