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Finding the Fourth Proportional to 148,705.52, 223,093.38 and 48,866

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Solution

The fourth proportional to 148,705.52, 223,093.38 and 48,866 is: 73,310.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,705.52 : 223,093.38 = 48,866 : x
  2. Step 2: Convert to fraction form
    148,705.52/223,093.38 = 48,866/x
  3. Step 3: Cross multiply
    148,705.52x = 223,093.38 × 48,866
  4. Step 4: Simplify right side
    148,705.52x = 10,901,681,107.08
  5. Step 5: Solve for x
    x = 10,901,681,107.08/148,705.52
  6. Step 6: Final answer
    x = 73,310.53

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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.