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Finding the Fourth Proportional to 119,534.74, 164,954.63 and 65,087.85

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Solution

The fourth proportional to 119,534.74, 164,954.63 and 65,087.85 is: 89,819.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,534.74 : 164,954.63 = 65,087.85 : x
  2. Step 2: Convert to fraction form
    119,534.74/164,954.63 = 65,087.85/x
  3. Step 3: Cross multiply
    119,534.74x = 164,954.63 × 65,087.85
  4. Step 4: Simplify right side
    119,534.74x = 10,736,542,629.43
  5. Step 5: Solve for x
    x = 10,736,542,629.43/119,534.74
  6. Step 6: Final answer
    x = 89,819.44

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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.