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Finding the Fourth Proportional to 189,240.75, 283,861.17 and 76,982.04

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Solution

The fourth proportional to 189,240.75, 283,861.17 and 76,982.04 is: 115,473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,240.75 : 283,861.17 = 76,982.04 : x
  2. Step 2: Convert to fraction form
    189,240.75/283,861.17 = 76,982.04/x
  3. Step 3: Cross multiply
    189,240.75x = 283,861.17 × 76,982.04
  4. Step 4: Simplify right side
    189,240.75x = 21,852,211,943.39
  5. Step 5: Solve for x
    x = 21,852,211,943.39/189,240.75
  6. Step 6: Final answer
    x = 115,473.08

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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.