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Finding the Fourth Proportional to 150,138.80, 225,208.20 and 137,891.60

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Solution

The fourth proportional to 150,138.80, 225,208.20 and 137,891.60 is: 206,837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,138.80 : 225,208.20 = 137,891.60 : x
  2. Step 2: Convert to fraction form
    150,138.80/225,208.20 = 137,891.60/x
  3. Step 3: Cross multiply
    150,138.80x = 225,208.20 × 137,891.60
  4. Step 4: Simplify right side
    150,138.80x = 31,054,319,031.12
  5. Step 5: Solve for x
    x = 31,054,319,031.12/150,138.80
  6. Step 6: Final answer
    x = 206,837.40

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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.