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Finding the Fourth Proportional to 216,002.12, 298,083.12 and 120,508.85

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Solution

The fourth proportional to 216,002.12, 298,083.12 and 120,508.85 is: 166,302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,002.12 : 298,083.12 = 120,508.85 : x
  2. Step 2: Convert to fraction form
    216,002.12/298,083.12 = 120,508.85/x
  3. Step 3: Cross multiply
    216,002.12x = 298,083.12 × 120,508.85
  4. Step 4: Simplify right side
    216,002.12x = 35,921,651,902.65
  5. Step 5: Solve for x
    x = 35,921,651,902.65/216,002.12
  6. Step 6: Final answer
    x = 166,302.31

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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.