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Finding the Fourth Proportional to 201,084.93, 301,627.13 and 51,325.20

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Solution

The fourth proportional to 201,084.93, 301,627.13 and 51,325.20 is: 76,987.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,084.93 : 301,627.13 = 51,325.20 : x
  2. Step 2: Convert to fraction form
    201,084.93/301,627.13 = 51,325.20/x
  3. Step 3: Cross multiply
    201,084.93x = 301,627.13 × 51,325.20
  4. Step 4: Simplify right side
    201,084.93x = 15,481,072,516.05
  5. Step 5: Solve for x
    x = 15,481,072,516.05/201,084.93
  6. Step 6: Final answer
    x = 76,987.73

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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.