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Finding the Fourth Proportional to 216,306.06, 298,499.25 and 120,814.14

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Solution

The fourth proportional to 216,306.06, 298,499.25 and 120,814.14 is: 166,721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,306.06 : 298,499.25 = 120,814.14 : x
  2. Step 2: Convert to fraction form
    216,306.06/298,499.25 = 120,814.14/x
  3. Step 3: Cross multiply
    216,306.06x = 298,499.25 × 120,814.14
  4. Step 4: Simplify right side
    216,306.06x = 36,062,930,179.40
  5. Step 5: Solve for x
    x = 36,062,930,179.40/216,306.06
  6. Step 6: Final answer
    x = 166,721.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.