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Finding the Fourth Proportional to 302,238.11, 417,082.80 and 166,264.12

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Solution

The fourth proportional to 302,238.11, 417,082.80 and 166,264.12 is: 229,441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,238.11 : 417,082.80 = 166,264.12 : x
  2. Step 2: Convert to fraction form
    302,238.11/417,082.80 = 166,264.12/x
  3. Step 3: Cross multiply
    302,238.11x = 417,082.80 × 166,264.12
  4. Step 4: Simplify right side
    302,238.11x = 69,345,904,709.14
  5. Step 5: Solve for x
    x = 69,345,904,709.14/302,238.11
  6. Step 6: Final answer
    x = 229,441.30

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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.