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Finding the Fourth Proportional to 148,493.52, 222,741.09 and 48,657.78

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Solution

The fourth proportional to 148,493.52, 222,741.09 and 48,657.78 is: 72,986.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,493.52 : 222,741.09 = 48,657.78 : x
  2. Step 2: Convert to fraction form
    148,493.52/222,741.09 = 48,657.78/x
  3. Step 3: Cross multiply
    148,493.52x = 222,741.09 × 48,657.78
  4. Step 4: Simplify right side
    148,493.52x = 10,838,086,954.18
  5. Step 5: Solve for x
    x = 10,838,086,954.18/148,493.52
  6. Step 6: Final answer
    x = 72,986.94

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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.