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Finding the Fourth Proportional to 302,169.52, 416,965.00 and 166,201.30

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Solution

The fourth proportional to 302,169.52, 416,965.00 and 166,201.30 is: 229,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,169.52 : 416,965.00 = 166,201.30 : x
  2. Step 2: Convert to fraction form
    302,169.52/416,965.00 = 166,201.30/x
  3. Step 3: Cross multiply
    302,169.52x = 416,965.00 × 166,201.30
  4. Step 4: Simplify right side
    302,169.52x = 69,300,122,138.67
  5. Step 5: Solve for x
    x = 69,300,122,138.67/302,169.52
  6. Step 6: Final answer
    x = 229,341.87

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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.