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Finding the Fourth Proportional to 205,197.72, 283,177.65 and 128,720.07

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Solution

The fourth proportional to 205,197.72, 283,177.65 and 128,720.07 is: 177,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,197.72 : 283,177.65 = 128,720.07 : x
  2. Step 2: Convert to fraction form
    205,197.72/283,177.65 = 128,720.07/x
  3. Step 3: Cross multiply
    205,197.72x = 283,177.65 × 128,720.07
  4. Step 4: Simplify right side
    205,197.72x = 36,450,646,930.44
  5. Step 5: Solve for x
    x = 36,450,646,930.44/205,197.72
  6. Step 6: Final answer
    x = 177,636.71

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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.