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Finding the Fourth Proportional to 101,094.32, 151,724.08 and 71,540.64

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Solution

The fourth proportional to 101,094.32, 151,724.08 and 71,540.64 is: 107,369.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,094.32 : 151,724.08 = 71,540.64 : x
  2. Step 2: Convert to fraction form
    101,094.32/151,724.08 = 71,540.64/x
  3. Step 3: Cross multiply
    101,094.32x = 151,724.08 × 71,540.64
  4. Step 4: Simplify right side
    101,094.32x = 10,854,437,786.61
  5. Step 5: Solve for x
    x = 10,854,437,786.61/101,094.32
  6. Step 6: Final answer
    x = 107,369.41

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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.