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Finding the Fourth Proportional to 253,793.18, 380,692.42 and 102,060.48

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Solution

The fourth proportional to 253,793.18, 380,692.42 and 102,060.48 is: 153,091.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,793.18 : 380,692.42 = 102,060.48 : x
  2. Step 2: Convert to fraction form
    253,793.18/380,692.42 = 102,060.48/x
  3. Step 3: Cross multiply
    253,793.18x = 380,692.42 × 102,060.48
  4. Step 4: Simplify right side
    253,793.18x = 38,853,651,117.56
  5. Step 5: Solve for x
    x = 38,853,651,117.56/253,793.18
  6. Step 6: Final answer
    x = 153,091.79

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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.