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Finding the Fourth Proportional to 116,769.80, 175,284.30 and 72,446.60

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Solution

The fourth proportional to 116,769.80, 175,284.30 and 72,446.60 is: 108,750.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,769.80 : 175,284.30 = 72,446.60 : x
  2. Step 2: Convert to fraction form
    116,769.80/175,284.30 = 72,446.60/x
  3. Step 3: Cross multiply
    116,769.80x = 175,284.30 × 72,446.60
  4. Step 4: Simplify right side
    116,769.80x = 12,698,751,568.38
  5. Step 5: Solve for x
    x = 12,698,751,568.38/116,769.80
  6. Step 6: Final answer
    x = 108,750.31

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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.