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Finding the Fourth Proportional to 101,204.56, 151,774.44 and 47,889.28

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Solution

The fourth proportional to 101,204.56, 151,774.44 and 47,889.28 is: 71,818.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,204.56 : 151,774.44 = 47,889.28 : x
  2. Step 2: Convert to fraction form
    101,204.56/151,774.44 = 47,889.28/x
  3. Step 3: Cross multiply
    101,204.56x = 151,774.44 × 47,889.28
  4. Step 4: Simplify right side
    101,204.56x = 7,268,368,654.00
  5. Step 5: Solve for x
    x = 7,268,368,654.00/101,204.56
  6. Step 6: Final answer
    x = 71,818.59

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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.