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Finding the Fourth Proportional to 164,228.96, 226,636.10 and 96,232.38

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Solution

The fourth proportional to 164,228.96, 226,636.10 and 96,232.38 is: 132,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,228.96 : 226,636.10 = 96,232.38 : x
  2. Step 2: Convert to fraction form
    164,228.96/226,636.10 = 96,232.38/x
  3. Step 3: Cross multiply
    164,228.96x = 226,636.10 × 96,232.38
  4. Step 4: Simplify right side
    164,228.96x = 21,809,731,296.92
  5. Step 5: Solve for x
    x = 21,809,731,296.92/164,228.96
  6. Step 6: Final answer
    x = 132,800.76

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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.