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Finding the Fourth Proportional to 201,426.38, 277,962.84 and 110,782.37

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Solution

The fourth proportional to 201,426.38, 277,962.84 and 110,782.37 is: 152,876.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,426.38 : 277,962.84 = 110,782.37 : x
  2. Step 2: Convert to fraction form
    201,426.38/277,962.84 = 110,782.37/x
  3. Step 3: Cross multiply
    201,426.38x = 277,962.84 × 110,782.37
  4. Step 4: Simplify right side
    201,426.38x = 30,793,380,797.32
  5. Step 5: Solve for x
    x = 30,793,380,797.32/201,426.38
  6. Step 6: Final answer
    x = 152,876.61

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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.