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Finding the Fourth Proportional to 200,906.73, 277,250.45 and 110,264.18

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Solution

The fourth proportional to 200,906.73, 277,250.45 and 110,264.18 is: 152,164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,906.73 : 277,250.45 = 110,264.18 : x
  2. Step 2: Convert to fraction form
    200,906.73/277,250.45 = 110,264.18/x
  3. Step 3: Cross multiply
    200,906.73x = 277,250.45 × 110,264.18
  4. Step 4: Simplify right side
    200,906.73x = 30,570,793,523.88
  5. Step 5: Solve for x
    x = 30,570,793,523.88/200,906.73
  6. Step 6: Final answer
    x = 152,164.11

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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.