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Finding the Fourth Proportional to 205,149.79, 282,883.48 and 133,396.75

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Solution

The fourth proportional to 205,149.79, 282,883.48 and 133,396.75 is: 183,942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,149.79 : 282,883.48 = 133,396.75 : x
  2. Step 2: Convert to fraction form
    205,149.79/282,883.48 = 133,396.75/x
  3. Step 3: Cross multiply
    205,149.79x = 282,883.48 × 133,396.75
  4. Step 4: Simplify right side
    205,149.79x = 37,735,736,860.69
  5. Step 5: Solve for x
    x = 37,735,736,860.69/205,149.79
  6. Step 6: Final answer
    x = 183,942.36

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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.