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Finding the Fourth Proportional to 164,096.88, 226,453.69 and 88,645.38

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Solution

The fourth proportional to 164,096.88, 226,453.69 and 88,645.38 is: 122,330.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,096.88 : 226,453.69 = 88,645.38 : x
  2. Step 2: Convert to fraction form
    164,096.88/226,453.69 = 88,645.38/x
  3. Step 3: Cross multiply
    164,096.88x = 226,453.69 × 88,645.38
  4. Step 4: Simplify right side
    164,096.88x = 20,074,073,402.45
  5. Step 5: Solve for x
    x = 20,074,073,402.45/164,096.88
  6. Step 6: Final answer
    x = 122,330.62

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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.