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Finding the Fourth Proportional to 161,884.67, 242,847.38 and 55,288.80

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Solution

The fourth proportional to 161,884.67, 242,847.38 and 55,288.80 is: 82,940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,884.67 : 242,847.38 = 55,288.80 : x
  2. Step 2: Convert to fraction form
    161,884.67/242,847.38 = 55,288.80/x
  3. Step 3: Cross multiply
    161,884.67x = 242,847.38 × 55,288.80
  4. Step 4: Simplify right side
    161,884.67x = 13,426,740,361.57
  5. Step 5: Solve for x
    x = 13,426,740,361.57/161,884.67
  6. Step 6: Final answer
    x = 82,940.16

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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.