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Finding the Fourth Proportional to 204,998.67, 282,810.96 and 128,465.68

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Solution

The fourth proportional to 204,998.67, 282,810.96 and 128,465.68 is: 177,227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,998.67 : 282,810.96 = 128,465.68 : x
  2. Step 2: Convert to fraction form
    204,998.67/282,810.96 = 128,465.68/x
  3. Step 3: Cross multiply
    204,998.67x = 282,810.96 × 128,465.68
  4. Step 4: Simplify right side
    204,998.67x = 36,331,502,287.85
  5. Step 5: Solve for x
    x = 36,331,502,287.85/204,998.67
  6. Step 6: Final answer
    x = 177,227.99

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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.