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Finding the Fourth Proportional to 301,687.11, 416,209.16 and 194,319.38

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Solution

The fourth proportional to 301,687.11, 416,209.16 and 194,319.38 is: 268,084.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,687.11 : 416,209.16 = 194,319.38 : x
  2. Step 2: Convert to fraction form
    301,687.11/416,209.16 = 194,319.38/x
  3. Step 3: Cross multiply
    301,687.11x = 416,209.16 × 194,319.38
  4. Step 4: Simplify right side
    301,687.11x = 80,877,505,921.52
  5. Step 5: Solve for x
    x = 80,877,505,921.52/301,687.11
  6. Step 6: Final answer
    x = 268,084.06

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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.