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Finding the Fourth Proportional to 182,231.56, 251,490.72 and 101,659.24

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Solution

The fourth proportional to 182,231.56, 251,490.72 and 101,659.24 is: 140,295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,231.56 : 251,490.72 = 101,659.24 : x
  2. Step 2: Convert to fraction form
    182,231.56/251,490.72 = 101,659.24/x
  3. Step 3: Cross multiply
    182,231.56x = 251,490.72 × 101,659.24
  4. Step 4: Simplify right side
    182,231.56x = 25,566,355,462.25
  5. Step 5: Solve for x
    x = 25,566,355,462.25/182,231.56
  6. Step 6: Final answer
    x = 140,295.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.