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Finding the Fourth Proportional to 203,188.70, 280,537.43 and 126,824.13

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Solution

The fourth proportional to 203,188.70, 280,537.43 and 126,824.13 is: 175,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,188.70 : 280,537.43 = 126,824.13 : x
  2. Step 2: Convert to fraction form
    203,188.70/280,537.43 = 126,824.13/x
  3. Step 3: Cross multiply
    203,188.70x = 280,537.43 × 126,824.13
  4. Step 4: Simplify right side
    203,188.70x = 35,578,914,858.07
  5. Step 5: Solve for x
    x = 35,578,914,858.07/203,188.70
  6. Step 6: Final answer
    x = 175,102.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.