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Finding the Fourth Proportional to 194,340.96, 290,853 and 119,508.54

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Solution

The fourth proportional to 194,340.96, 290,853 and 119,508.54 is: 178,857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,340.96 : 290,853 = 119,508.54 : x
  2. Step 2: Convert to fraction form
    194,340.96/290,853 = 119,508.54/x
  3. Step 3: Cross multiply
    194,340.96x = 290,853 × 119,508.54
  4. Step 4: Simplify right side
    194,340.96x = 34,759,417,384.62
  5. Step 5: Solve for x
    x = 34,759,417,384.62/194,340.96
  6. Step 6: Final answer
    x = 178,857.91

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