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Finding the Fourth Proportional to 100,704.80, 138,974.24 and 55,384.80

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Solution

The fourth proportional to 100,704.80, 138,974.24 and 55,384.80 is: 76,431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,704.80 : 138,974.24 = 55,384.80 : x
  2. Step 2: Convert to fraction form
    100,704.80/138,974.24 = 55,384.80/x
  3. Step 3: Cross multiply
    100,704.80x = 138,974.24 × 55,384.80
  4. Step 4: Simplify right side
    100,704.80x = 7,697,060,487.55
  5. Step 5: Solve for x
    x = 7,697,060,487.55/100,704.80
  6. Step 6: Final answer
    x = 76,431.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.