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Finding the Fourth Proportional to 302,916.42, 418,022.46 and 166,950.42

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Solution

The fourth proportional to 302,916.42, 418,022.46 and 166,950.42 is: 230,390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,916.42 : 418,022.46 = 166,950.42 : x
  2. Step 2: Convert to fraction form
    302,916.42/418,022.46 = 166,950.42/x
  3. Step 3: Cross multiply
    302,916.42x = 418,022.46 × 166,950.42
  4. Step 4: Simplify right side
    302,916.42x = 69,789,025,266.43
  5. Step 5: Solve for x
    x = 69,789,025,266.43/302,916.42
  6. Step 6: Final answer
    x = 230,390.37

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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.