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Finding the Fourth Proportional to 200,202.92, 300,295 and 58,043.96

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Solution

The fourth proportional to 200,202.92, 300,295 and 58,043.96 is: 87,063.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,202.92 : 300,295 = 58,043.96 : x
  2. Step 2: Convert to fraction form
    200,202.92/300,295 = 58,043.96/x
  3. Step 3: Cross multiply
    200,202.92x = 300,295 × 58,043.96
  4. Step 4: Simplify right side
    200,202.92x = 17,430,310,968.20
  5. Step 5: Solve for x
    x = 17,430,310,968.20/200,202.92
  6. Step 6: Final answer
    x = 87,063.22

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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.