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Finding the Fourth Proportional to 222,428.98, 306,952.16 and 120,455.24

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Solution

The fourth proportional to 222,428.98, 306,952.16 and 120,455.24 is: 166,228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,428.98 : 306,952.16 = 120,455.24 : x
  2. Step 2: Convert to fraction form
    222,428.98/306,952.16 = 120,455.24/x
  3. Step 3: Cross multiply
    222,428.98x = 306,952.16 × 120,455.24
  4. Step 4: Simplify right side
    222,428.98x = 36,973,996,101.32
  5. Step 5: Solve for x
    x = 36,973,996,101.32/222,428.98
  6. Step 6: Final answer
    x = 166,228.32

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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.