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Finding the Fourth Proportional to 205,170.66, 283,134.42 and 119,150.79

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Solution

The fourth proportional to 205,170.66, 283,134.42 and 119,150.79 is: 164,427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,170.66 : 283,134.42 = 119,150.79 : x
  2. Step 2: Convert to fraction form
    205,170.66/283,134.42 = 119,150.79/x
  3. Step 3: Cross multiply
    205,170.66x = 283,134.42 × 119,150.79
  4. Step 4: Simplify right side
    205,170.66x = 33,735,689,819.19
  5. Step 5: Solve for x
    x = 33,735,689,819.19/205,170.66
  6. Step 6: Final answer
    x = 164,427.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.