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Finding the Fourth Proportional to 201,047.88, 277,452.54 and 116,164.92

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Solution

The fourth proportional to 201,047.88, 277,452.54 and 116,164.92 is: 160,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,047.88 : 277,452.54 = 116,164.92 : x
  2. Step 2: Convert to fraction form
    201,047.88/277,452.54 = 116,164.92/x
  3. Step 3: Cross multiply
    201,047.88x = 277,452.54 × 116,164.92
  4. Step 4: Simplify right side
    201,047.88x = 32,230,252,112.90
  5. Step 5: Solve for x
    x = 32,230,252,112.90/201,047.88
  6. Step 6: Final answer
    x = 160,311.33

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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.