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Finding the Fourth Proportional to 222,429.48, 306,952.84 and 120,455.76

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Solution

The fourth proportional to 222,429.48, 306,952.84 and 120,455.76 is: 166,229.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,429.48 : 306,952.84 = 120,455.76 : x
  2. Step 2: Convert to fraction form
    222,429.48/306,952.84 = 120,455.76/x
  3. Step 3: Cross multiply
    222,429.48x = 306,952.84 × 120,455.76
  4. Step 4: Simplify right side
    222,429.48x = 36,974,237,626.36
  5. Step 5: Solve for x
    x = 36,974,237,626.36/222,429.48
  6. Step 6: Final answer
    x = 166,229.03

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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.