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Finding the Fourth Proportional to 142,611.90, 196,746.81 and 82,150.14

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Solution

The fourth proportional to 142,611.90, 196,746.81 and 82,150.14 is: 113,334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,611.90 : 196,746.81 = 82,150.14 : x
  2. Step 2: Convert to fraction form
    142,611.90/196,746.81 = 82,150.14/x
  3. Step 3: Cross multiply
    142,611.90x = 196,746.81 × 82,150.14
  4. Step 4: Simplify right side
    142,611.90x = 16,162,777,986.05
  5. Step 5: Solve for x
    x = 16,162,777,986.05/142,611.90
  6. Step 6: Final answer
    x = 113,334.01

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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.