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Finding the Fourth Proportional to 203,503, 280,834.14 and 112,872.84

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Solution

The fourth proportional to 203,503, 280,834.14 and 112,872.84 is: 155,764.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,503 : 280,834.14 = 112,872.84 : x
  2. Step 2: Convert to fraction form
    203,503/280,834.14 = 112,872.84/x
  3. Step 3: Cross multiply
    203,503x = 280,834.14 × 112,872.84
  4. Step 4: Simplify right side
    203,503x = 31,698,546,950.76
  5. Step 5: Solve for x
    x = 31,698,546,950.76/203,503
  6. Step 6: Final answer
    x = 155,764.52

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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.