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Finding the Fourth Proportional to 201,908.67, 278,633.37 and 111,264.60

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Solution

The fourth proportional to 201,908.67, 278,633.37 and 111,264.60 is: 153,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,908.67 : 278,633.37 = 111,264.60 : x
  2. Step 2: Convert to fraction form
    201,908.67/278,633.37 = 111,264.60/x
  3. Step 3: Cross multiply
    201,908.67x = 278,633.37 × 111,264.60
  4. Step 4: Simplify right side
    201,908.67x = 31,002,030,459.70
  5. Step 5: Solve for x
    x = 31,002,030,459.70/201,908.67
  6. Step 6: Final answer
    x = 153,544.82

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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.