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Finding the Fourth Proportional to 216,570.14, 324,910.58 and 83,414.66

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Solution

The fourth proportional to 216,570.14, 324,910.58 and 83,414.66 is: 125,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,570.14 : 324,910.58 = 83,414.66 : x
  2. Step 2: Convert to fraction form
    216,570.14/324,910.58 = 83,414.66/x
  3. Step 3: Cross multiply
    216,570.14x = 324,910.58 × 83,414.66
  4. Step 4: Simplify right side
    216,570.14x = 27,102,305,561.10
  5. Step 5: Solve for x
    x = 27,102,305,561.10/216,570.14
  6. Step 6: Final answer
    x = 125,143.32

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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.