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Finding the Fourth Proportional to 142,651.17, 196,858.53 and 78,993

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Solution

The fourth proportional to 142,651.17, 196,858.53 and 78,993 is: 109,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,651.17 : 196,858.53 = 78,993 : x
  2. Step 2: Convert to fraction form
    142,651.17/196,858.53 = 78,993/x
  3. Step 3: Cross multiply
    142,651.17x = 196,858.53 × 78,993
  4. Step 4: Simplify right side
    142,651.17x = 15,550,445,860.29
  5. Step 5: Solve for x
    x = 15,550,445,860.29/142,651.17
  6. Step 6: Final answer
    x = 109,010.29

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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.