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Finding the Fourth Proportional to 142,358.48, 196,449.46 and 81,938.42

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Solution

The fourth proportional to 142,358.48, 196,449.46 and 81,938.42 is: 113,072.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,358.48 : 196,449.46 = 81,938.42 : x
  2. Step 2: Convert to fraction form
    142,358.48/196,449.46 = 81,938.42/x
  3. Step 3: Cross multiply
    142,358.48x = 196,449.46 × 81,938.42
  4. Step 4: Simplify right side
    142,358.48x = 16,096,757,175.16
  5. Step 5: Solve for x
    x = 16,096,757,175.16/142,358.48
  6. Step 6: Final answer
    x = 113,072.00

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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.