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Finding the Fourth Proportional to 220,964.63, 304,931.18 and 120,362.63

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Solution

The fourth proportional to 220,964.63, 304,931.18 and 120,362.63 is: 166,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,964.63 : 304,931.18 = 120,362.63 : x
  2. Step 2: Convert to fraction form
    220,964.63/304,931.18 = 120,362.63/x
  3. Step 3: Cross multiply
    220,964.63x = 304,931.18 × 120,362.63
  4. Step 4: Simplify right side
    220,964.63x = 36,702,317,570.05
  5. Step 5: Solve for x
    x = 36,702,317,570.05/220,964.63
  6. Step 6: Final answer
    x = 166,100.42

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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.