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Finding the Fourth Proportional to 101,154.56, 151,739.13 and 38,825.06

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Solution

The fourth proportional to 101,154.56, 151,739.13 and 38,825.06 is: 58,240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,154.56 : 151,739.13 = 38,825.06 : x
  2. Step 2: Convert to fraction form
    101,154.56/151,739.13 = 38,825.06/x
  3. Step 3: Cross multiply
    101,154.56x = 151,739.13 × 38,825.06
  4. Step 4: Simplify right side
    101,154.56x = 5,891,281,351.54
  5. Step 5: Solve for x
    x = 5,891,281,351.54/101,154.56
  6. Step 6: Final answer
    x = 58,240.39

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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.