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Finding the Fourth Proportional to 201,926.52, 278,660.51 and 111,285.75

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Solution

The fourth proportional to 201,926.52, 278,660.51 and 111,285.75 is: 153,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,926.52 : 278,660.51 = 111,285.75 : x
  2. Step 2: Convert to fraction form
    201,926.52/278,660.51 = 111,285.75/x
  3. Step 3: Cross multiply
    201,926.52x = 278,660.51 × 111,285.75
  4. Step 4: Simplify right side
    201,926.52x = 31,010,943,294.30
  5. Step 5: Solve for x
    x = 31,010,943,294.30/201,926.52
  6. Step 6: Final answer
    x = 153,575.39

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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.