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Finding the Fourth Proportional to 301,967.73, 416,755.89 and 194,849.19

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Solution

The fourth proportional to 301,967.73, 416,755.89 and 194,849.19 is: 268,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,967.73 : 416,755.89 = 194,849.19 : x
  2. Step 2: Convert to fraction form
    301,967.73/416,755.89 = 194,849.19/x
  3. Step 3: Cross multiply
    301,967.73x = 416,755.89 × 194,849.19
  4. Step 4: Simplify right side
    301,967.73x = 81,204,547,594.23
  5. Step 5: Solve for x
    x = 81,204,547,594.23/301,967.73
  6. Step 6: Final answer
    x = 268,917.97

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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.