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Finding the Fourth Proportional to 148,474, 222,723.96 and 37,666

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Solution

The fourth proportional to 148,474, 222,723.96 and 37,666 is: 56,502.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,474 : 222,723.96 = 37,666 : x
  2. Step 2: Convert to fraction form
    148,474/222,723.96 = 37,666/x
  3. Step 3: Cross multiply
    148,474x = 222,723.96 × 37,666
  4. Step 4: Simplify right side
    148,474x = 8,389,120,677.36
  5. Step 5: Solve for x
    x = 8,389,120,677.36/148,474
  6. Step 6: Final answer
    x = 56,502.29

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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.