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Finding the Fourth Proportional to 182,471.20, 273,706.80 and 161,735.20

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Solution

The fourth proportional to 182,471.20, 273,706.80 and 161,735.20 is: 242,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,471.20 : 273,706.80 = 161,735.20 : x
  2. Step 2: Convert to fraction form
    182,471.20/273,706.80 = 161,735.20/x
  3. Step 3: Cross multiply
    182,471.20x = 273,706.80 × 161,735.20
  4. Step 4: Simplify right side
    182,471.20x = 44,268,024,039.36
  5. Step 5: Solve for x
    x = 44,268,024,039.36/182,471.20
  6. Step 6: Final answer
    x = 242,602.80

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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.