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Finding the Fourth Proportional to 201,102.99, 301,654.20 and 51,343.30

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Solution

The fourth proportional to 201,102.99, 301,654.20 and 51,343.30 is: 77,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,102.99 : 301,654.20 = 51,343.30 : x
  2. Step 2: Convert to fraction form
    201,102.99/301,654.20 = 51,343.30/x
  3. Step 3: Cross multiply
    201,102.99x = 301,654.20 × 51,343.30
  4. Step 4: Simplify right side
    201,102.99x = 15,487,922,086.86
  5. Step 5: Solve for x
    x = 15,487,922,086.86/201,102.99
  6. Step 6: Final answer
    x = 77,014.88

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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.