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Finding the Fourth Proportional to 302,916.50, 418,007.71 and 166,950.03

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Solution

The fourth proportional to 302,916.50, 418,007.71 and 166,950.03 is: 230,381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,916.50 : 418,007.71 = 166,950.03 : x
  2. Step 2: Convert to fraction form
    302,916.50/418,007.71 = 166,950.03/x
  3. Step 3: Cross multiply
    302,916.50x = 418,007.71 × 166,950.03
  4. Step 4: Simplify right side
    302,916.50x = 69,786,399,724.73
  5. Step 5: Solve for x
    x = 69,786,399,724.73/302,916.50
  6. Step 6: Final answer
    x = 230,381.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.