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Finding the Fourth Proportional to 222,290.39, 306,760.71 and 120,315.83

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Solution

The fourth proportional to 222,290.39, 306,760.71 and 120,315.83 is: 166,035.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,290.39 : 306,760.71 = 120,315.83 : x
  2. Step 2: Convert to fraction form
    222,290.39/306,760.71 = 120,315.83/x
  3. Step 3: Cross multiply
    222,290.39x = 306,760.71 × 120,315.83
  4. Step 4: Simplify right side
    222,290.39x = 36,908,167,299.66
  5. Step 5: Solve for x
    x = 36,908,167,299.66/222,290.39
  6. Step 6: Final answer
    x = 166,035.82

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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.