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Finding the Fourth Proportional to 148,965.80, 222,930.30 and 102,309.80

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Solution

The fourth proportional to 148,965.80, 222,930.30 and 102,309.80 is: 153,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,965.80 : 222,930.30 = 102,309.80 : x
  2. Step 2: Convert to fraction form
    148,965.80/222,930.30 = 102,309.80/x
  3. Step 3: Cross multiply
    148,965.80x = 222,930.30 × 102,309.80
  4. Step 4: Simplify right side
    148,965.80x = 22,807,954,406.94
  5. Step 5: Solve for x
    x = 22,807,954,406.94/148,965.80
  6. Step 6: Final answer
    x = 153,108.66

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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.