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Finding the Fourth Proportional to 216,509.27, 324,764.33 and 83,452.19

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Solution

The fourth proportional to 216,509.27, 324,764.33 and 83,452.19 is: 125,178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,509.27 : 324,764.33 = 83,452.19 : x
  2. Step 2: Convert to fraction form
    216,509.27/324,764.33 = 83,452.19/x
  3. Step 3: Cross multiply
    216,509.27x = 324,764.33 × 83,452.19
  4. Step 4: Simplify right side
    216,509.27x = 27,102,292,531.30
  5. Step 5: Solve for x
    x = 27,102,292,531.30/216,509.27
  6. Step 6: Final answer
    x = 125,178.44

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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.