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Finding the Fourth Proportional to 302,233.29, 417,065.47 and 166,245.29

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Solution

The fourth proportional to 302,233.29, 417,065.47 and 166,245.29 is: 229,409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,233.29 : 417,065.47 = 166,245.29 : x
  2. Step 2: Convert to fraction form
    302,233.29/417,065.47 = 166,245.29/x
  3. Step 3: Cross multiply
    302,233.29x = 417,065.47 × 166,245.29
  4. Step 4: Simplify right side
    302,233.29x = 69,335,167,092.58
  5. Step 5: Solve for x
    x = 69,335,167,092.58/302,233.29
  6. Step 6: Final answer
    x = 229,409.43

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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.