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Finding the Fourth Proportional to 148,611, 222,951.06 and 106,983.48

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Solution

The fourth proportional to 148,611, 222,951.06 and 106,983.48 is: 160,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,611 : 222,951.06 = 106,983.48 : x
  2. Step 2: Convert to fraction form
    148,611/222,951.06 = 106,983.48/x
  3. Step 3: Cross multiply
    148,611x = 222,951.06 × 106,983.48
  4. Step 4: Simplify right side
    148,611x = 23,852,080,268.49
  5. Step 5: Solve for x
    x = 23,852,080,268.49/148,611
  6. Step 6: Final answer
    x = 160,500.10

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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.