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Finding the Fourth Proportional to 142,516.65, 196,675.31 and 77,991.48

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Solution

The fourth proportional to 142,516.65, 196,675.31 and 77,991.48 is: 107,629.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,516.65 : 196,675.31 = 77,991.48 : x
  2. Step 2: Convert to fraction form
    142,516.65/196,675.31 = 77,991.48/x
  3. Step 3: Cross multiply
    142,516.65x = 196,675.31 × 77,991.48
  4. Step 4: Simplify right side
    142,516.65x = 15,338,998,116.40
  5. Step 5: Solve for x
    x = 15,338,998,116.40/142,516.65
  6. Step 6: Final answer
    x = 107,629.52

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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.