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Finding the Fourth Proportional to 201,086.68, 277,488.84 and 110,425

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Solution

The fourth proportional to 201,086.68, 277,488.84 and 110,425 is: 152,380.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,086.68 : 277,488.84 = 110,425 : x
  2. Step 2: Convert to fraction form
    201,086.68/277,488.84 = 110,425/x
  3. Step 3: Cross multiply
    201,086.68x = 277,488.84 × 110,425
  4. Step 4: Simplify right side
    201,086.68x = 30,641,705,157.00
  5. Step 5: Solve for x
    x = 30,641,705,157.00/201,086.68
  6. Step 6: Final answer
    x = 152,380.58

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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.