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Finding the Fourth Proportional to 101,301.44, 151,905.96 and 42,101.84

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Solution

The fourth proportional to 101,301.44, 151,905.96 and 42,101.84 is: 63,133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,301.44 : 151,905.96 = 42,101.84 : x
  2. Step 2: Convert to fraction form
    101,301.44/151,905.96 = 42,101.84/x
  3. Step 3: Cross multiply
    101,301.44x = 151,905.96 × 42,101.84
  4. Step 4: Simplify right side
    101,301.44x = 6,395,520,422.97
  5. Step 5: Solve for x
    x = 6,395,520,422.97/101,301.44
  6. Step 6: Final answer
    x = 63,133.56

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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.