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Finding the Fourth Proportional to 221,045.36, 305,042.60 and 120,443.36

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Solution

The fourth proportional to 221,045.36, 305,042.60 and 120,443.36 is: 166,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,045.36 : 305,042.60 = 120,443.36 : x
  2. Step 2: Convert to fraction form
    221,045.36/305,042.60 = 120,443.36/x
  3. Step 3: Cross multiply
    221,045.36x = 305,042.60 × 120,443.36
  4. Step 4: Simplify right side
    221,045.36x = 36,740,353,616.16
  5. Step 5: Solve for x
    x = 36,740,353,616.16/221,045.36
  6. Step 6: Final answer
    x = 166,211.83

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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.