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Finding the Fourth Proportional to 193,591.92, 290,463 and 75,346.32

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Solution

The fourth proportional to 193,591.92, 290,463 and 75,346.32 is: 113,048.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,591.92 : 290,463 = 75,346.32 : x
  2. Step 2: Convert to fraction form
    193,591.92/290,463 = 75,346.32/x
  3. Step 3: Cross multiply
    193,591.92x = 290,463 × 75,346.32
  4. Step 4: Simplify right side
    193,591.92x = 21,885,318,146.16
  5. Step 5: Solve for x
    x = 21,885,318,146.16/193,591.92
  6. Step 6: Final answer
    x = 113,048.72

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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.