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Finding the Fourth Proportional to 181,180.53, 271,784.07 and 48,057.84

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Solution

The fourth proportional to 181,180.53, 271,784.07 and 48,057.84 is: 72,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,180.53 : 271,784.07 = 48,057.84 : x
  2. Step 2: Convert to fraction form
    181,180.53/271,784.07 = 48,057.84/x
  3. Step 3: Cross multiply
    181,180.53x = 271,784.07 × 48,057.84
  4. Step 4: Simplify right side
    181,180.53x = 13,061,355,350.61
  5. Step 5: Solve for x
    x = 13,061,355,350.61/181,180.53
  6. Step 6: Final answer
    x = 72,090.28

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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.