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Finding the Fourth Proportional to 205,909.92, 308,910.24 and 117,205.20

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Solution

The fourth proportional to 205,909.92, 308,910.24 and 117,205.20 is: 175,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,909.92 : 308,910.24 = 117,205.20 : x
  2. Step 2: Convert to fraction form
    205,909.92/308,910.24 = 117,205.20/x
  3. Step 3: Cross multiply
    205,909.92x = 308,910.24 × 117,205.20
  4. Step 4: Simplify right side
    205,909.92x = 36,205,886,461.25
  5. Step 5: Solve for x
    x = 36,205,886,461.25/205,909.92
  6. Step 6: Final answer
    x = 175,833.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.