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Finding the Fourth Proportional to 222,448.71, 306,977.70 and 120,471.83

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Solution

The fourth proportional to 222,448.71, 306,977.70 and 120,471.83 is: 166,250.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,448.71 : 306,977.70 = 120,471.83 : x
  2. Step 2: Convert to fraction form
    222,448.71/306,977.70 = 120,471.83/x
  3. Step 3: Cross multiply
    222,448.71x = 306,977.70 × 120,471.83
  4. Step 4: Simplify right side
    222,448.71x = 36,982,163,150.94
  5. Step 5: Solve for x
    x = 36,982,163,150.94/222,448.71
  6. Step 6: Final answer
    x = 166,250.29

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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.