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Finding the Fourth Proportional to 280,112.20, 420,104.22 and 80,431

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Solution

The fourth proportional to 280,112.20, 420,104.22 and 80,431 is: 120,628.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,112.20 : 420,104.22 = 80,431 : x
  2. Step 2: Convert to fraction form
    280,112.20/420,104.22 = 80,431/x
  3. Step 3: Cross multiply
    280,112.20x = 420,104.22 × 80,431
  4. Step 4: Simplify right side
    280,112.20x = 33,789,402,518.82
  5. Step 5: Solve for x
    x = 33,789,402,518.82/280,112.20
  6. Step 6: Final answer
    x = 120,628.10

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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.