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Finding the Fourth Proportional to 200,867, 277,197.54 and 110,231.60

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Solution

The fourth proportional to 200,867, 277,197.54 and 110,231.60 is: 152,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,867 : 277,197.54 = 110,231.60 : x
  2. Step 2: Convert to fraction form
    200,867/277,197.54 = 110,231.60/x
  3. Step 3: Cross multiply
    200,867x = 277,197.54 × 110,231.60
  4. Step 4: Simplify right side
    200,867x = 30,555,928,350.26
  5. Step 5: Solve for x
    x = 30,555,928,350.26/200,867
  6. Step 6: Final answer
    x = 152,120.20

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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.