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Finding the Fourth Proportional to 201,163.10, 301,781.10 and 101,071.40

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Solution

The fourth proportional to 201,163.10, 301,781.10 and 101,071.40 is: 151,625.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,163.10 : 301,781.10 = 101,071.40 : x
  2. Step 2: Convert to fraction form
    201,163.10/301,781.10 = 101,071.40/x
  3. Step 3: Cross multiply
    201,163.10x = 301,781.10 × 101,071.40
  4. Step 4: Simplify right side
    201,163.10x = 30,501,438,270.54
  5. Step 5: Solve for x
    x = 30,501,438,270.54/201,163.10
  6. Step 6: Final answer
    x = 151,625.41

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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.