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Finding the Fourth Proportional to 194,433, 291,690.20 and 82,113.54

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Solution

The fourth proportional to 194,433, 291,690.20 and 82,113.54 is: 123,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,433 : 291,690.20 = 82,113.54 : x
  2. Step 2: Convert to fraction form
    194,433/291,690.20 = 82,113.54/x
  3. Step 3: Cross multiply
    194,433x = 291,690.20 × 82,113.54
  4. Step 4: Simplify right side
    194,433x = 23,951,714,905.31
  5. Step 5: Solve for x
    x = 23,951,714,905.31/194,433
  6. Step 6: Final answer
    x = 123,187.50

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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.