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Finding the Fourth Proportional to 100,812.80, 151,267.80 and 71,166.80

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Solution

The fourth proportional to 100,812.80, 151,267.80 and 71,166.80 is: 106,784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,812.80 : 151,267.80 = 71,166.80 : x
  2. Step 2: Convert to fraction form
    100,812.80/151,267.80 = 71,166.80/x
  3. Step 3: Cross multiply
    100,812.80x = 151,267.80 × 71,166.80
  4. Step 4: Simplify right side
    100,812.80x = 10,765,245,269.04
  5. Step 5: Solve for x
    x = 10,765,245,269.04/100,812.80
  6. Step 6: Final answer
    x = 106,784.51

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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.