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Finding the Fourth Proportional to 141,796, 195,682.60 and 78,137.90

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Solution

The fourth proportional to 141,796, 195,682.60 and 78,137.90 is: 107,832.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,796 : 195,682.60 = 78,137.90 : x
  2. Step 2: Convert to fraction form
    141,796/195,682.60 = 78,137.90/x
  3. Step 3: Cross multiply
    141,796x = 195,682.60 × 78,137.90
  4. Step 4: Simplify right side
    141,796x = 15,290,227,430.54
  5. Step 5: Solve for x
    x = 15,290,227,430.54/141,796
  6. Step 6: Final answer
    x = 107,832.57

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