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Finding the Fourth Proportional to 301,685.11, 416,206.40 and 194,317.38

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Solution

The fourth proportional to 301,685.11, 416,206.40 and 194,317.38 is: 268,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,685.11 : 416,206.40 = 194,317.38 : x
  2. Step 2: Convert to fraction form
    301,685.11/416,206.40 = 194,317.38/x
  3. Step 3: Cross multiply
    301,685.11x = 416,206.40 × 194,317.38
  4. Step 4: Simplify right side
    301,685.11x = 80,876,137,308.68
  5. Step 5: Solve for x
    x = 80,876,137,308.68/301,685.11
  6. Step 6: Final answer
    x = 268,081.30

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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.