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Finding the Fourth Proportional to 201,262.73, 277,720.26 and 120,693.65

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Solution

The fourth proportional to 201,262.73, 277,720.26 and 120,693.65 is: 166,543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,262.73 : 277,720.26 = 120,693.65 : x
  2. Step 2: Convert to fraction form
    201,262.73/277,720.26 = 120,693.65/x
  3. Step 3: Cross multiply
    201,262.73x = 277,720.26 × 120,693.65
  4. Step 4: Simplify right side
    201,262.73x = 33,519,071,858.35
  5. Step 5: Solve for x
    x = 33,519,071,858.35/201,262.73
  6. Step 6: Final answer
    x = 166,543.86

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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.