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Finding the Fourth Proportional to 116,209.80, 173,877.30 and 76,843.80

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Solution

The fourth proportional to 116,209.80, 173,877.30 and 76,843.80 is: 114,976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,209.80 : 173,877.30 = 76,843.80 : x
  2. Step 2: Convert to fraction form
    116,209.80/173,877.30 = 76,843.80/x
  3. Step 3: Cross multiply
    116,209.80x = 173,877.30 × 76,843.80
  4. Step 4: Simplify right side
    116,209.80x = 13,361,392,465.74
  5. Step 5: Solve for x
    x = 13,361,392,465.74/116,209.80
  6. Step 6: Final answer
    x = 114,976.47

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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.