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Finding the Fourth Proportional to 181,208.96, 271,792.31 and 48,099.56

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Solution

The fourth proportional to 181,208.96, 271,792.31 and 48,099.56 is: 72,143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,208.96 : 271,792.31 = 48,099.56 : x
  2. Step 2: Convert to fraction form
    181,208.96/271,792.31 = 48,099.56/x
  3. Step 3: Cross multiply
    181,208.96x = 271,792.31 × 48,099.56
  4. Step 4: Simplify right side
    181,208.96x = 13,073,089,283.67
  5. Step 5: Solve for x
    x = 13,073,089,283.67/181,208.96
  6. Step 6: Final answer
    x = 72,143.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.