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Finding the Fourth Proportional to 148,684.50, 222,983.01 and 43,478.46

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Solution

The fourth proportional to 148,684.50, 222,983.01 and 43,478.46 is: 65,204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,684.50 : 222,983.01 = 43,478.46 : x
  2. Step 2: Convert to fraction form
    148,684.50/222,983.01 = 43,478.46/x
  3. Step 3: Cross multiply
    148,684.50x = 222,983.01 × 43,478.46
  4. Step 4: Simplify right side
    148,684.50x = 9,694,957,880.96
  5. Step 5: Solve for x
    x = 9,694,957,880.96/148,684.50
  6. Step 6: Final answer
    x = 65,204.90

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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.