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Finding the Fourth Proportional to 148,266.80, 221,874.92 and 130,770.80

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Solution

The fourth proportional to 148,266.80, 221,874.92 and 130,770.80 is: 195,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,266.80 : 221,874.92 = 130,770.80 : x
  2. Step 2: Convert to fraction form
    148,266.80/221,874.92 = 130,770.80/x
  3. Step 3: Cross multiply
    148,266.80x = 221,874.92 × 130,770.80
  4. Step 4: Simplify right side
    148,266.80x = 29,014,760,788.34
  5. Step 5: Solve for x
    x = 29,014,760,788.34/148,266.80
  6. Step 6: Final answer
    x = 195,692.90

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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.