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Finding the Fourth Proportional to 205,698.92, 283,890.80 and 115,059.92

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Solution

The fourth proportional to 205,698.92, 283,890.80 and 115,059.92 is: 158,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,698.92 : 283,890.80 = 115,059.92 : x
  2. Step 2: Convert to fraction form
    205,698.92/283,890.80 = 115,059.92/x
  3. Step 3: Cross multiply
    205,698.92x = 283,890.80 × 115,059.92
  4. Step 4: Simplify right side
    205,698.92x = 32,664,452,736.74
  5. Step 5: Solve for x
    x = 32,664,452,736.74/205,698.92
  6. Step 6: Final answer
    x = 158,797.40

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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.