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Finding the Fourth Proportional to 101,266.34, 151,767.39 and 73,280.66

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Solution

The fourth proportional to 101,266.34, 151,767.39 and 73,280.66 is: 109,825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,266.34 : 151,767.39 = 73,280.66 : x
  2. Step 2: Convert to fraction form
    101,266.34/151,767.39 = 73,280.66/x
  3. Step 3: Cross multiply
    101,266.34x = 151,767.39 × 73,280.66
  4. Step 4: Simplify right side
    101,266.34x = 11,121,614,505.68
  5. Step 5: Solve for x
    x = 11,121,614,505.68/101,266.34
  6. Step 6: Final answer
    x = 109,825.38

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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.