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Finding the Fourth Proportional to 194,398.25, 290,938.77 and 119,565.86

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Solution

The fourth proportional to 194,398.25, 290,938.77 and 119,565.86 is: 178,943.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,398.25 : 290,938.77 = 119,565.86 : x
  2. Step 2: Convert to fraction form
    194,398.25/290,938.77 = 119,565.86/x
  3. Step 3: Cross multiply
    194,398.25x = 290,938.77 × 119,565.86
  4. Step 4: Simplify right side
    194,398.25x = 34,786,342,787.70
  5. Step 5: Solve for x
    x = 34,786,342,787.70/194,398.25
  6. Step 6: Final answer
    x = 178,943.71

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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.