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Finding the Fourth Proportional to 201,926.33, 278,660.24 and 111,285.56

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Solution

The fourth proportional to 201,926.33, 278,660.24 and 111,285.56 is: 153,575.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,926.33 : 278,660.24 = 111,285.56 : x
  2. Step 2: Convert to fraction form
    201,926.33/278,660.24 = 111,285.56/x
  3. Step 3: Cross multiply
    201,926.33x = 278,660.24 × 111,285.56
  4. Step 4: Simplify right side
    201,926.33x = 31,010,860,858.13
  5. Step 5: Solve for x
    x = 31,010,860,858.13/201,926.33
  6. Step 6: Final answer
    x = 153,575.12

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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.