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Finding the Fourth Proportional to 302,115.32, 416,939.52 and 199,964.78

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Solution

The fourth proportional to 302,115.32, 416,939.52 and 199,964.78 is: 275,964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,115.32 : 416,939.52 = 199,964.78 : x
  2. Step 2: Convert to fraction form
    302,115.32/416,939.52 = 199,964.78/x
  3. Step 3: Cross multiply
    302,115.32x = 416,939.52 × 199,964.78
  4. Step 4: Simplify right side
    302,115.32x = 83,373,219,390.11
  5. Step 5: Solve for x
    x = 83,373,219,390.11/302,115.32
  6. Step 6: Final answer
    x = 275,964.88

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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.