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Finding the Fourth Proportional to 100,075.08, 150,101.46 and 25,195.20

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Solution

The fourth proportional to 100,075.08, 150,101.46 and 25,195.20 is: 37,789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,075.08 : 150,101.46 = 25,195.20 : x
  2. Step 2: Convert to fraction form
    100,075.08/150,101.46 = 25,195.20/x
  3. Step 3: Cross multiply
    100,075.08x = 150,101.46 × 25,195.20
  4. Step 4: Simplify right side
    100,075.08x = 3,781,836,304.99
  5. Step 5: Solve for x
    x = 3,781,836,304.99/100,075.08
  6. Step 6: Final answer
    x = 37,789.99

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1.5x scale

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.