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Finding the Fourth Proportional to 216,351.36, 298,545.12 and 120,844.80

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Solution

The fourth proportional to 216,351.36, 298,545.12 and 120,844.80 is: 166,754.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,351.36 : 298,545.12 = 120,844.80 : x
  2. Step 2: Convert to fraction form
    216,351.36/298,545.12 = 120,844.80/x
  3. Step 3: Cross multiply
    216,351.36x = 298,545.12 × 120,844.80
  4. Step 4: Simplify right side
    216,351.36x = 36,077,625,317.38
  5. Step 5: Solve for x
    x = 36,077,625,317.38/216,351.36
  6. Step 6: Final answer
    x = 166,754.79

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Why These Related Problems?

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