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Finding the Fourth Proportional to 141,157.14, 194,796 and 76,627.68

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Solution

The fourth proportional to 141,157.14, 194,796 and 76,627.68 is: 105,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,157.14 : 194,796 = 76,627.68 : x
  2. Step 2: Convert to fraction form
    141,157.14/194,796 = 76,627.68/x
  3. Step 3: Cross multiply
    141,157.14x = 194,796 × 76,627.68
  4. Step 4: Simplify right side
    141,157.14x = 14,926,765,553.28
  5. Step 5: Solve for x
    x = 14,926,765,553.28/141,157.14
  6. Step 6: Final answer
    x = 105,745.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.