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Finding the Fourth Proportional to 150,862, 226,490.76 and 101,164.48

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Solution

The fourth proportional to 150,862, 226,490.76 and 101,164.48 is: 151,879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,862 : 226,490.76 = 101,164.48 : x
  2. Step 2: Convert to fraction form
    150,862/226,490.76 = 101,164.48/x
  3. Step 3: Cross multiply
    150,862x = 226,490.76 × 101,164.48
  4. Step 4: Simplify right side
    150,862x = 22,912,819,960.20
  5. Step 5: Solve for x
    x = 22,912,819,960.20/150,862
  6. Step 6: Final answer
    x = 151,879.33

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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.