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Finding the Fourth Proportional to 280,465.31, 386,845.72 and 189,781.36

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Solution

The fourth proportional to 280,465.31, 386,845.72 and 189,781.36 is: 261,765.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,465.31 : 386,845.72 = 189,781.36 : x
  2. Step 2: Convert to fraction form
    280,465.31/386,845.72 = 189,781.36/x
  3. Step 3: Cross multiply
    280,465.31x = 386,845.72 × 189,781.36
  4. Step 4: Simplify right side
    280,465.31x = 73,416,105,410.21
  5. Step 5: Solve for x
    x = 73,416,105,410.21/280,465.31
  6. Step 6: Final answer
    x = 261,765.37

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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.