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Finding the Fourth Proportional to 201,761.20, 301,864.20 and 131,777.20

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Solution

The fourth proportional to 201,761.20, 301,864.20 and 131,777.20 is: 197,157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,761.20 : 301,864.20 = 131,777.20 : x
  2. Step 2: Convert to fraction form
    201,761.20/301,864.20 = 131,777.20/x
  3. Step 3: Cross multiply
    201,761.20x = 301,864.20 × 131,777.20
  4. Step 4: Simplify right side
    201,761.20x = 39,778,819,056.24
  5. Step 5: Solve for x
    x = 39,778,819,056.24/201,761.20
  6. Step 6: Final answer
    x = 197,157.92

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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.