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Finding the Fourth Proportional to 105,857.88, 158,770.44 and 34,780.32

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Solution

The fourth proportional to 105,857.88, 158,770.44 and 34,780.32 is: 52,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,857.88 : 158,770.44 = 34,780.32 : x
  2. Step 2: Convert to fraction form
    105,857.88/158,770.44 = 34,780.32/x
  3. Step 3: Cross multiply
    105,857.88x = 158,770.44 × 34,780.32
  4. Step 4: Simplify right side
    105,857.88x = 5,522,086,709.74
  5. Step 5: Solve for x
    x = 5,522,086,709.74/105,857.88
  6. Step 6: Final answer
    x = 52,165.10

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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.