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Finding the Fourth Proportional to 205,099.62, 282,958.56 and 128,485.38

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Solution

The fourth proportional to 205,099.62, 282,958.56 and 128,485.38 is: 177,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,099.62 : 282,958.56 = 128,485.38 : x
  2. Step 2: Convert to fraction form
    205,099.62/282,958.56 = 128,485.38/x
  3. Step 3: Cross multiply
    205,099.62x = 282,958.56 × 128,485.38
  4. Step 4: Simplify right side
    205,099.62x = 36,356,038,105.85
  5. Step 5: Solve for x
    x = 36,356,038,105.85/205,099.62
  6. Step 6: Final answer
    x = 177,260.39

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Why These Related Problems?

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