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Finding the Fourth Proportional to 103,419.50, 142,723.31 and 58,096.62

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Solution

The fourth proportional to 103,419.50, 142,723.31 and 58,096.62 is: 80,175.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,419.50 : 142,723.31 = 58,096.62 : x
  2. Step 2: Convert to fraction form
    103,419.50/142,723.31 = 58,096.62/x
  3. Step 3: Cross multiply
    103,419.50x = 142,723.31 × 58,096.62
  4. Step 4: Simplify right side
    103,419.50x = 8,291,741,615.73
  5. Step 5: Solve for x
    x = 8,291,741,615.73/103,419.50
  6. Step 6: Final answer
    x = 80,175.81

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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.