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Finding the Fourth Proportional to 148,536.80, 222,706.80 and 82,008.80

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Solution

The fourth proportional to 148,536.80, 222,706.80 and 82,008.80 is: 122,958.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,536.80 : 222,706.80 = 82,008.80 : x
  2. Step 2: Convert to fraction form
    148,536.80/222,706.80 = 82,008.80/x
  3. Step 3: Cross multiply
    148,536.80x = 222,706.80 × 82,008.80
  4. Step 4: Simplify right side
    148,536.80x = 18,263,917,419.84
  5. Step 5: Solve for x
    x = 18,263,917,419.84/148,536.80
  6. Step 6: Final answer
    x = 122,958.87

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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.