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Finding the Fourth Proportional to 280,126.30, 419,857.34 and 161,552.84

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Solution

The fourth proportional to 280,126.30, 419,857.34 and 161,552.84 is: 242,137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,126.30 : 419,857.34 = 161,552.84 : x
  2. Step 2: Convert to fraction form
    280,126.30/419,857.34 = 161,552.84/x
  3. Step 3: Cross multiply
    280,126.30x = 419,857.34 × 161,552.84
  4. Step 4: Simplify right side
    280,126.30x = 67,829,145,671.85
  5. Step 5: Solve for x
    x = 67,829,145,671.85/280,126.30
  6. Step 6: Final answer
    x = 242,137.73

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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.