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Finding the Fourth Proportional to 209,035.33, 314,947.56 and 189,067.86

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Solution

The fourth proportional to 209,035.33, 314,947.56 and 189,067.86 is: 284,863.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,035.33 : 314,947.56 = 189,067.86 : x
  2. Step 2: Convert to fraction form
    209,035.33/314,947.56 = 189,067.86/x
  3. Step 3: Cross multiply
    209,035.33x = 314,947.56 × 189,067.86
  4. Step 4: Simplify right side
    209,035.33x = 59,546,461,181.42
  5. Step 5: Solve for x
    x = 59,546,461,181.42/209,035.33
  6. Step 6: Final answer
    x = 284,863.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.