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Finding the Fourth Proportional to 302,226.27, 417,059.07 and 166,251.59

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Solution

The fourth proportional to 302,226.27, 417,059.07 and 166,251.59 is: 229,419.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,226.27 : 417,059.07 = 166,251.59 : x
  2. Step 2: Convert to fraction form
    302,226.27/417,059.07 = 166,251.59/x
  3. Step 3: Cross multiply
    302,226.27x = 417,059.07 × 166,251.59
  4. Step 4: Simplify right side
    302,226.27x = 69,336,733,301.82
  5. Step 5: Solve for x
    x = 69,336,733,301.82/302,226.27
  6. Step 6: Final answer
    x = 229,419.94

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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.