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Finding the Fourth Proportional to 302,705.28, 417,736.17 and 166,739.81

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Solution

The fourth proportional to 302,705.28, 417,736.17 and 166,739.81 is: 230,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,705.28 : 417,736.17 = 166,739.81 : x
  2. Step 2: Convert to fraction form
    302,705.28/417,736.17 = 166,739.81/x
  3. Step 3: Cross multiply
    302,705.28x = 417,736.17 × 166,739.81
  4. Step 4: Simplify right side
    302,705.28x = 69,653,247,527.25
  5. Step 5: Solve for x
    x = 69,653,247,527.25/302,705.28
  6. Step 6: Final answer
    x = 230,102.52

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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.