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Finding the Fourth Proportional to 200,551.36, 300,761.42 and 93,902.30

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Solution

The fourth proportional to 200,551.36, 300,761.42 and 93,902.30 is: 140,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,551.36 : 300,761.42 = 93,902.30 : x
  2. Step 2: Convert to fraction form
    200,551.36/300,761.42 = 93,902.30/x
  3. Step 3: Cross multiply
    200,551.36x = 300,761.42 × 93,902.30
  4. Step 4: Simplify right side
    200,551.36x = 28,242,188,619.75
  5. Step 5: Solve for x
    x = 28,242,188,619.75/200,551.36
  6. Step 6: Final answer
    x = 140,822.73

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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.