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Finding the Fourth Proportional to 201,754.09, 278,422.74 and 111,111.85

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Solution

The fourth proportional to 201,754.09, 278,422.74 and 111,111.85 is: 153,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,754.09 : 278,422.74 = 111,111.85 : x
  2. Step 2: Convert to fraction form
    201,754.09/278,422.74 = 111,111.85/x
  3. Step 3: Cross multiply
    201,754.09x = 278,422.74 × 111,111.85
  4. Step 4: Simplify right side
    201,754.09x = 30,936,063,775.80
  5. Step 5: Solve for x
    x = 30,936,063,775.80/201,754.09
  6. Step 6: Final answer
    x = 153,335.50

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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.