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Finding the Fourth Proportional to 201,849, 278,540.56 and 111,187.20

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Solution

The fourth proportional to 201,849, 278,540.56 and 111,187.20 is: 153,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,849 : 278,540.56 = 111,187.20 : x
  2. Step 2: Convert to fraction form
    201,849/278,540.56 = 111,187.20/x
  3. Step 3: Cross multiply
    201,849x = 278,540.56 × 111,187.20
  4. Step 4: Simplify right side
    201,849x = 30,970,144,952.83
  5. Step 5: Solve for x
    x = 30,970,144,952.83/201,849
  6. Step 6: Final answer
    x = 153,432.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.