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Finding the Fourth Proportional to 201,997.33, 278,756.25 and 111,354.84

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Solution

The fourth proportional to 201,997.33, 278,756.25 and 111,354.84 is: 153,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,997.33 : 278,756.25 = 111,354.84 : x
  2. Step 2: Convert to fraction form
    201,997.33/278,756.25 = 111,354.84/x
  3. Step 3: Cross multiply
    201,997.33x = 278,756.25 × 111,354.84
  4. Step 4: Simplify right side
    201,997.33x = 31,040,857,617.75
  5. Step 5: Solve for x
    x = 31,040,857,617.75/201,997.33
  6. Step 6: Final answer
    x = 153,669.64

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1.5x scale

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.