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Finding the Fourth Proportional to 101,205.48, 151,807.90 and 27,333.48

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Solution

The fourth proportional to 101,205.48, 151,807.90 and 27,333.48 is: 41,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,205.48 : 151,807.90 = 27,333.48 : x
  2. Step 2: Convert to fraction form
    101,205.48/151,807.90 = 27,333.48/x
  3. Step 3: Cross multiply
    101,205.48x = 151,807.90 × 27,333.48
  4. Step 4: Simplify right side
    101,205.48x = 4,149,438,198.49
  5. Step 5: Solve for x
    x = 4,149,438,198.49/101,205.48
  6. Step 6: Final answer
    x = 41,000.13

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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.