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Finding the Fourth Proportional to 302,204.33, 417,042.96 and 166,248.62

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Solution

The fourth proportional to 302,204.33, 417,042.96 and 166,248.62 is: 229,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,204.33 : 417,042.96 = 166,248.62 : x
  2. Step 2: Convert to fraction form
    302,204.33/417,042.96 = 166,248.62/x
  3. Step 3: Cross multiply
    302,204.33x = 417,042.96 × 166,248.62
  4. Step 4: Simplify right side
    302,204.33x = 69,332,816,900.15
  5. Step 5: Solve for x
    x = 69,332,816,900.15/302,204.33
  6. Step 6: Final answer
    x = 229,423.64

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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.