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Finding the Fourth Proportional to 189,200.80, 283,801.20 and 177,536.80

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Solution

The fourth proportional to 189,200.80, 283,801.20 and 177,536.80 is: 266,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,200.80 : 283,801.20 = 177,536.80 : x
  2. Step 2: Convert to fraction form
    189,200.80/283,801.20 = 177,536.80/x
  3. Step 3: Cross multiply
    189,200.80x = 283,801.20 × 177,536.80
  4. Step 4: Simplify right side
    189,200.80x = 50,385,156,884.16
  5. Step 5: Solve for x
    x = 50,385,156,884.16/189,200.80
  6. Step 6: Final answer
    x = 266,305.20

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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.