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Finding the Fourth Proportional to 205,336.96, 283,351.68 and 119,288.32

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Solution

The fourth proportional to 205,336.96, 283,351.68 and 119,288.32 is: 164,610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,336.96 : 283,351.68 = 119,288.32 : x
  2. Step 2: Convert to fraction form
    205,336.96/283,351.68 = 119,288.32/x
  3. Step 3: Cross multiply
    205,336.96x = 283,351.68 × 119,288.32
  4. Step 4: Simplify right side
    205,336.96x = 33,800,545,876.38
  5. Step 5: Solve for x
    x = 33,800,545,876.38/205,336.96
  6. Step 6: Final answer
    x = 164,610.14

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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.