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Finding the Fourth Proportional to 201,753.20, 301,852.20 and 131,769.20

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Solution

The fourth proportional to 201,753.20, 301,852.20 and 131,769.20 is: 197,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,753.20 : 301,852.20 = 131,769.20 : x
  2. Step 2: Convert to fraction form
    201,753.20/301,852.20 = 131,769.20/x
  3. Step 3: Cross multiply
    201,753.20x = 301,852.20 × 131,769.20
  4. Step 4: Simplify right side
    201,753.20x = 39,774,822,912.24
  5. Step 5: Solve for x
    x = 39,774,822,912.24/201,753.20
  6. Step 6: Final answer
    x = 197,145.93

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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.