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Finding the Fourth Proportional to 205,414.60, 308,165.10 and 116,595.40

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Solution

The fourth proportional to 205,414.60, 308,165.10 and 116,595.40 is: 174,917.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,414.60 : 308,165.10 = 116,595.40 : x
  2. Step 2: Convert to fraction form
    205,414.60/308,165.10 = 116,595.40/x
  3. Step 3: Cross multiply
    205,414.60x = 308,165.10 × 116,595.40
  4. Step 4: Simplify right side
    205,414.60x = 35,930,633,100.54
  5. Step 5: Solve for x
    x = 35,930,633,100.54/205,414.60
  6. Step 6: Final answer
    x = 174,917.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.