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Finding the Fourth Proportional to 102,770.96, 154,156.44 and 52,843.28

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Solution

The fourth proportional to 102,770.96, 154,156.44 and 52,843.28 is: 79,264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,770.96 : 154,156.44 = 52,843.28 : x
  2. Step 2: Convert to fraction form
    102,770.96/154,156.44 = 52,843.28/x
  3. Step 3: Cross multiply
    102,770.96x = 154,156.44 × 52,843.28
  4. Step 4: Simplify right side
    102,770.96x = 8,146,131,922.72
  5. Step 5: Solve for x
    x = 8,146,131,922.72/102,770.96
  6. Step 6: Final answer
    x = 79,264.92

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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.