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Finding the Fourth Proportional to 164,378.52, 226,770.12 and 96,360.96

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Solution

The fourth proportional to 164,378.52, 226,770.12 and 96,360.96 is: 132,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,378.52 : 226,770.12 = 96,360.96 : x
  2. Step 2: Convert to fraction form
    164,378.52/226,770.12 = 96,360.96/x
  3. Step 3: Cross multiply
    164,378.52x = 226,770.12 × 96,360.96
  4. Step 4: Simplify right side
    164,378.52x = 21,851,786,462.52
  5. Step 5: Solve for x
    x = 21,851,786,462.52/164,378.52
  6. Step 6: Final answer
    x = 132,935.78

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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.