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Finding the Fourth Proportional to 200,146.70, 300,194.10 and 75,471.50

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Solution

The fourth proportional to 200,146.70, 300,194.10 and 75,471.50 is: 113,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,146.70 : 300,194.10 = 75,471.50 : x
  2. Step 2: Convert to fraction form
    200,146.70/300,194.10 = 75,471.50/x
  3. Step 3: Cross multiply
    200,146.70x = 300,194.10 × 75,471.50
  4. Step 4: Simplify right side
    200,146.70x = 22,656,099,018.15
  5. Step 5: Solve for x
    x = 22,656,099,018.15/200,146.70
  6. Step 6: Final answer
    x = 113,197.46

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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.