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Finding the Fourth Proportional to 150,139.80, 225,209.70 and 137,892.60

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Solution

The fourth proportional to 150,139.80, 225,209.70 and 137,892.60 is: 206,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,139.80 : 225,209.70 = 137,892.60 : x
  2. Step 2: Convert to fraction form
    150,139.80/225,209.70 = 137,892.60/x
  3. Step 3: Cross multiply
    150,139.80x = 225,209.70 × 137,892.60
  4. Step 4: Simplify right side
    150,139.80x = 31,054,751,078.22
  5. Step 5: Solve for x
    x = 31,054,751,078.22/150,139.80
  6. Step 6: Final answer
    x = 206,838.90

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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.