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Finding the Fourth Proportional to 167,142.24, 250,688.64 and 48,781.80

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Solution

The fourth proportional to 167,142.24, 250,688.64 and 48,781.80 is: 73,165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,142.24 : 250,688.64 = 48,781.80 : x
  2. Step 2: Convert to fraction form
    167,142.24/250,688.64 = 48,781.80/x
  3. Step 3: Cross multiply
    167,142.24x = 250,688.64 × 48,781.80
  4. Step 4: Simplify right side
    167,142.24x = 12,229,043,098.75
  5. Step 5: Solve for x
    x = 12,229,043,098.75/167,142.24
  6. Step 6: Final answer
    x = 73,165.49

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