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Finding the Fourth Proportional to 201,096.35, 301,644.24 and 51,336.64

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Solution

The fourth proportional to 201,096.35, 301,644.24 and 51,336.64 is: 77,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,096.35 : 301,644.24 = 51,336.64 : x
  2. Step 2: Convert to fraction form
    201,096.35/301,644.24 = 51,336.64/x
  3. Step 3: Cross multiply
    201,096.35x = 301,644.24 × 51,336.64
  4. Step 4: Simplify right side
    201,096.35x = 15,485,401,756.95
  5. Step 5: Solve for x
    x = 15,485,401,756.95/201,096.35
  6. Step 6: Final answer
    x = 77,004.89

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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.