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Finding the Fourth Proportional to 194,338.97, 290,850.05 and 119,506.51

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Solution

The fourth proportional to 194,338.97, 290,850.05 and 119,506.51 is: 178,854.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,338.97 : 290,850.05 = 119,506.51 : x
  2. Step 2: Convert to fraction form
    194,338.97/290,850.05 = 119,506.51/x
  3. Step 3: Cross multiply
    194,338.97x = 290,850.05 × 119,506.51
  4. Step 4: Simplify right side
    194,338.97x = 34,758,474,408.83
  5. Step 5: Solve for x
    x = 34,758,474,408.83/194,338.97
  6. Step 6: Final answer
    x = 178,854.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.