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Finding the Fourth Proportional to 201,157.38, 301,736.04 and 51,397.98

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Solution

The fourth proportional to 201,157.38, 301,736.04 and 51,397.98 is: 77,096.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,157.38 : 301,736.04 = 51,397.98 : x
  2. Step 2: Convert to fraction form
    201,157.38/301,736.04 = 51,397.98/x
  3. Step 3: Cross multiply
    201,157.38x = 301,736.04 × 51,397.98
  4. Step 4: Simplify right side
    201,157.38x = 15,508,622,949.20
  5. Step 5: Solve for x
    x = 15,508,622,949.20/201,157.38
  6. Step 6: Final answer
    x = 77,096.96

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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.