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Finding the Fourth Proportional to 133,907.88, 200,728.74 and 67,144.26

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Solution

The fourth proportional to 133,907.88, 200,728.74 and 67,144.26 is: 100,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,907.88 : 200,728.74 = 67,144.26 : x
  2. Step 2: Convert to fraction form
    133,907.88/200,728.74 = 67,144.26/x
  3. Step 3: Cross multiply
    133,907.88x = 200,728.74 × 67,144.26
  4. Step 4: Simplify right side
    133,907.88x = 13,477,782,708.03
  5. Step 5: Solve for x
    x = 13,477,782,708.03/133,907.88
  6. Step 6: Final answer
    x = 100,649.66

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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.