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Finding the Fourth Proportional to 194,625.70, 291,938.55 and 178,879.30

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Solution

The fourth proportional to 194,625.70, 291,938.55 and 178,879.30 is: 268,318.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,625.70 : 291,938.55 = 178,879.30 : x
  2. Step 2: Convert to fraction form
    194,625.70/291,938.55 = 178,879.30/x
  3. Step 3: Cross multiply
    194,625.70x = 291,938.55 × 178,879.30
  4. Step 4: Simplify right side
    194,625.70x = 52,221,763,467.02
  5. Step 5: Solve for x
    x = 52,221,763,467.02/194,625.70
  6. Step 6: Final answer
    x = 268,318.95

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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.