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Finding the Fourth Proportional to 302,976.54, 418,105.26 and 165,155.14

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Solution

The fourth proportional to 302,976.54, 418,105.26 and 165,155.14 is: 227,912.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,976.54 : 418,105.26 = 165,155.14 : x
  2. Step 2: Convert to fraction form
    302,976.54/418,105.26 = 165,155.14/x
  3. Step 3: Cross multiply
    302,976.54x = 418,105.26 × 165,155.14
  4. Step 4: Simplify right side
    302,976.54x = 69,052,232,750.04
  5. Step 5: Solve for x
    x = 69,052,232,750.04/302,976.54
  6. Step 6: Final answer
    x = 227,912.80

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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.