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Finding the Fourth Proportional to 100,966.60, 151,320.30 and 61,481.80

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Solution

The fourth proportional to 100,966.60, 151,320.30 and 61,481.80 is: 92,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,966.60 : 151,320.30 = 61,481.80 : x
  2. Step 2: Convert to fraction form
    100,966.60/151,320.30 = 61,481.80/x
  3. Step 3: Cross multiply
    100,966.60x = 151,320.30 × 61,481.80
  4. Step 4: Simplify right side
    100,966.60x = 9,303,444,420.54
  5. Step 5: Solve for x
    x = 9,303,444,420.54/100,966.60
  6. Step 6: Final answer
    x = 92,143.78

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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.