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Finding the Fourth Proportional to 201,676.62, 278,303.16 and 111,014.88

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Solution

The fourth proportional to 201,676.62, 278,303.16 and 111,014.88 is: 153,194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,676.62 : 278,303.16 = 111,014.88 : x
  2. Step 2: Convert to fraction form
    201,676.62/278,303.16 = 111,014.88/x
  3. Step 3: Cross multiply
    201,676.62x = 278,303.16 × 111,014.88
  4. Step 4: Simplify right side
    201,676.62x = 30,895,790,867.38
  5. Step 5: Solve for x
    x = 30,895,790,867.38/201,676.62
  6. Step 6: Final answer
    x = 153,194.71

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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.