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Finding the Fourth Proportional to 201,840.88, 278,538 and 111,195.04

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Solution

The fourth proportional to 201,840.88, 278,538 and 111,195.04 is: 153,447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,840.88 : 278,538 = 111,195.04 : x
  2. Step 2: Convert to fraction form
    201,840.88/278,538 = 111,195.04/x
  3. Step 3: Cross multiply
    201,840.88x = 278,538 × 111,195.04
  4. Step 4: Simplify right side
    201,840.88x = 30,972,044,051.52
  5. Step 5: Solve for x
    x = 30,972,044,051.52/201,840.88
  6. Step 6: Final answer
    x = 153,447.83

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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.