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Finding the Fourth Proportional to 203,164.52, 280,358.78 and 112,515.09

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Solution

The fourth proportional to 203,164.52, 280,358.78 and 112,515.09 is: 155,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,164.52 : 280,358.78 = 112,515.09 : x
  2. Step 2: Convert to fraction form
    203,164.52/280,358.78 = 112,515.09/x
  3. Step 3: Cross multiply
    203,164.52x = 280,358.78 × 112,515.09
  4. Step 4: Simplify right side
    203,164.52x = 31,544,591,962.20
  5. Step 5: Solve for x
    x = 31,544,591,962.20/203,164.52
  6. Step 6: Final answer
    x = 155,266.25

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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.