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Finding the Fourth Proportional to 201,414.73, 277,959.31 and 110,777.55

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Solution

The fourth proportional to 201,414.73, 277,959.31 and 110,777.55 is: 152,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,414.73 : 277,959.31 = 110,777.55 : x
  2. Step 2: Convert to fraction form
    201,414.73/277,959.31 = 110,777.55/x
  3. Step 3: Cross multiply
    201,414.73x = 277,959.31 × 110,777.55
  4. Step 4: Simplify right side
    201,414.73x = 30,791,651,084.55
  5. Step 5: Solve for x
    x = 30,791,651,084.55/201,414.73
  6. Step 6: Final answer
    x = 152,876.86

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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.