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Finding the Fourth Proportional to 142,376.81, 196,473.74 and 77,844.92

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Solution

The fourth proportional to 142,376.81, 196,473.74 and 77,844.92 is: 107,422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,376.81 : 196,473.74 = 77,844.92 : x
  2. Step 2: Convert to fraction form
    142,376.81/196,473.74 = 77,844.92/x
  3. Step 3: Cross multiply
    142,376.81x = 196,473.74 × 77,844.92
  4. Step 4: Simplify right side
    142,376.81x = 15,294,481,200.81
  5. Step 5: Solve for x
    x = 15,294,481,200.81/142,376.81
  6. Step 6: Final answer
    x = 107,422.56

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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.