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Finding the Fourth Proportional to 201,266.73, 277,725.78 and 120,697.65

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Solution

The fourth proportional to 201,266.73, 277,725.78 and 120,697.65 is: 166,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,266.73 : 277,725.78 = 120,697.65 : x
  2. Step 2: Convert to fraction form
    201,266.73/277,725.78 = 120,697.65/x
  3. Step 3: Cross multiply
    201,266.73x = 277,725.78 × 120,697.65
  4. Step 4: Simplify right side
    201,266.73x = 33,520,848,990.42
  5. Step 5: Solve for x
    x = 33,520,848,990.42/201,266.73
  6. Step 6: Final answer
    x = 166,549.38

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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.