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Finding the Fourth Proportional to 194,164.75, 290,826.46 and 94,115.64

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Solution

The fourth proportional to 194,164.75, 290,826.46 and 94,115.64 is: 140,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,164.75 : 290,826.46 = 94,115.64 : x
  2. Step 2: Convert to fraction form
    194,164.75/290,826.46 = 94,115.64/x
  3. Step 3: Cross multiply
    194,164.75x = 290,826.46 × 94,115.64
  4. Step 4: Simplify right side
    194,164.75x = 27,371,318,411.83
  5. Step 5: Solve for x
    x = 27,371,318,411.83/194,164.75
  6. Step 6: Final answer
    x = 140,969.56

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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.