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Finding the Fourth Proportional to 148,309.85, 222,462.92 and 35,991

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Solution

The fourth proportional to 148,309.85, 222,462.92 and 35,991 is: 53,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,309.85 : 222,462.92 = 35,991 : x
  2. Step 2: Convert to fraction form
    148,309.85/222,462.92 = 35,991/x
  3. Step 3: Cross multiply
    148,309.85x = 222,462.92 × 35,991
  4. Step 4: Simplify right side
    148,309.85x = 8,006,663,043.70
  5. Step 5: Solve for x
    x = 8,006,663,043.70/148,309.85
  6. Step 6: Final answer
    x = 53,986.05

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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.