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Finding the Fourth Proportional to 302,933.85, 418,046.83 and 165,112.62

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Solution

The fourth proportional to 302,933.85, 418,046.83 and 165,112.62 is: 227,854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,933.85 : 418,046.83 = 165,112.62 : x
  2. Step 2: Convert to fraction form
    302,933.85/418,046.83 = 165,112.62/x
  3. Step 3: Cross multiply
    302,933.85x = 418,046.83 × 165,112.62
  4. Step 4: Simplify right side
    302,933.85x = 69,024,807,383.99
  5. Step 5: Solve for x
    x = 69,024,807,383.99/302,933.85
  6. Step 6: Final answer
    x = 227,854.39

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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.