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Finding the Fourth Proportional to 141,660, 195,486.93 and 77,998.14

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Solution

The fourth proportional to 141,660, 195,486.93 and 77,998.14 is: 107,635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,660 : 195,486.93 = 77,998.14 : x
  2. Step 2: Convert to fraction form
    141,660/195,486.93 = 77,998.14/x
  3. Step 3: Cross multiply
    141,660x = 195,486.93 × 77,998.14
  4. Step 4: Simplify right side
    141,660x = 15,247,616,934.31
  5. Step 5: Solve for x
    x = 15,247,616,934.31/141,660
  6. Step 6: Final answer
    x = 107,635.30

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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.