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Finding the Fourth Proportional to 209,380.32, 288,950.78 and 113,893.12

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Solution

The fourth proportional to 209,380.32, 288,950.78 and 113,893.12 is: 157,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,380.32 : 288,950.78 = 113,893.12 : x
  2. Step 2: Convert to fraction form
    209,380.32/288,950.78 = 113,893.12/x
  3. Step 3: Cross multiply
    209,380.32x = 288,950.78 × 113,893.12
  4. Step 4: Simplify right side
    209,380.32x = 32,909,505,860.63
  5. Step 5: Solve for x
    x = 32,909,505,860.63/209,380.32
  6. Step 6: Final answer
    x = 157,175.74

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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.