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Finding the Fourth Proportional to 361,984.80, 543,236.40 and 151,773.60

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Solution

The fourth proportional to 361,984.80, 543,236.40 and 151,773.60 is: 227,769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,984.80 : 543,236.40 = 151,773.60 : x
  2. Step 2: Convert to fraction form
    361,984.80/543,236.40 = 151,773.60/x
  3. Step 3: Cross multiply
    361,984.80x = 543,236.40 × 151,773.60
  4. Step 4: Simplify right side
    361,984.80x = 82,448,944,079.04
  5. Step 5: Solve for x
    x = 82,448,944,079.04/361,984.80
  6. Step 6: Final answer
    x = 227,769.08

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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.