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Finding the Fourth Proportional to 201,809.25, 278,441.34 and 140,486.73

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Solution

The fourth proportional to 201,809.25, 278,441.34 and 140,486.73 is: 193,833.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,809.25 : 278,441.34 = 140,486.73 : x
  2. Step 2: Convert to fraction form
    201,809.25/278,441.34 = 140,486.73/x
  3. Step 3: Cross multiply
    201,809.25x = 278,441.34 × 140,486.73
  4. Step 4: Simplify right side
    201,809.25x = 39,117,313,353.42
  5. Step 5: Solve for x
    x = 39,117,313,353.42/201,809.25
  6. Step 6: Final answer
    x = 193,833.10

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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.