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Finding the Fourth Proportional to 654,163.05, 981,263 and 180,848.36

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Solution

The fourth proportional to 654,163.05, 981,263 and 180,848.36 is: 271,277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,163.05 : 981,263 = 180,848.36 : x
  2. Step 2: Convert to fraction form
    654,163.05/981,263 = 180,848.36/x
  3. Step 3: Cross multiply
    654,163.05x = 981,263 × 180,848.36
  4. Step 4: Simplify right side
    654,163.05x = 177,459,799,372.37
  5. Step 5: Solve for x
    x = 177,459,799,372.37/654,163.05
  6. Step 6: Final answer
    x = 271,277.63

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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.