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Finding the Fourth Proportional to 200,120.60, 300,251.22 and 125,155.64

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Solution

The fourth proportional to 200,120.60, 300,251.22 and 125,155.64 is: 187,777.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,120.60 : 300,251.22 = 125,155.64 : x
  2. Step 2: Convert to fraction form
    200,120.60/300,251.22 = 125,155.64/x
  3. Step 3: Cross multiply
    200,120.60x = 300,251.22 × 125,155.64
  4. Step 4: Simplify right side
    200,120.60x = 37,578,133,599.88
  5. Step 5: Solve for x
    x = 37,578,133,599.88/200,120.60
  6. Step 6: Final answer
    x = 187,777.44

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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.