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Finding the Fourth Proportional to 201,134.17, 301,704.01 and 51,375.70

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Solution

The fourth proportional to 201,134.17, 301,704.01 and 51,375.70 is: 77,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,134.17 : 301,704.01 = 51,375.70 : x
  2. Step 2: Convert to fraction form
    201,134.17/301,704.01 = 51,375.70/x
  3. Step 3: Cross multiply
    201,134.17x = 301,704.01 × 51,375.70
  4. Step 4: Simplify right side
    201,134.17x = 15,500,254,955.25
  5. Step 5: Solve for x
    x = 15,500,254,955.25/201,134.17
  6. Step 6: Final answer
    x = 77,064.25

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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.