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Finding the Fourth Proportional to 137,907.90, 206,910.45 and 133,047.90

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Solution

The fourth proportional to 137,907.90, 206,910.45 and 133,047.90 is: 199,618.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,907.90 : 206,910.45 = 133,047.90 : x
  2. Step 2: Convert to fraction form
    137,907.90/206,910.45 = 133,047.90/x
  3. Step 3: Cross multiply
    137,907.90x = 206,910.45 × 133,047.90
  4. Step 4: Simplify right side
    137,907.90x = 27,529,000,860.56
  5. Step 5: Solve for x
    x = 27,529,000,860.56/137,907.90
  6. Step 6: Final answer
    x = 199,618.74

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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.