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Finding the Fourth Proportional to 293,338.14, 404,806.78 and 159,202.14

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Solution

The fourth proportional to 293,338.14, 404,806.78 and 159,202.14 is: 219,699.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,338.14 : 404,806.78 = 159,202.14 : x
  2. Step 2: Convert to fraction form
    293,338.14/404,806.78 = 159,202.14/x
  3. Step 3: Cross multiply
    293,338.14x = 404,806.78 × 159,202.14
  4. Step 4: Simplify right side
    293,338.14x = 64,446,105,662.51
  5. Step 5: Solve for x
    x = 64,446,105,662.51/293,338.14
  6. Step 6: Final answer
    x = 219,699.03

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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.