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Finding the Fourth Proportional to 231,871.56, 320,008.44 and 129,913.68

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Solution

The fourth proportional to 231,871.56, 320,008.44 and 129,913.68 is: 179,295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,871.56 : 320,008.44 = 129,913.68 : x
  2. Step 2: Convert to fraction form
    231,871.56/320,008.44 = 129,913.68/x
  3. Step 3: Cross multiply
    231,871.56x = 320,008.44 × 129,913.68
  4. Step 4: Simplify right side
    231,871.56x = 41,573,474,071.46
  5. Step 5: Solve for x
    x = 41,573,474,071.46/231,871.56
  6. Step 6: Final answer
    x = 179,295.27

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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.