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Finding the Fourth Proportional to 209,354.36, 313,781.38 and 76,078.58

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Solution

The fourth proportional to 209,354.36, 313,781.38 and 76,078.58 is: 114,026.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,354.36 : 313,781.38 = 76,078.58 : x
  2. Step 2: Convert to fraction form
    209,354.36/313,781.38 = 76,078.58/x
  3. Step 3: Cross multiply
    209,354.36x = 313,781.38 × 76,078.58
  4. Step 4: Simplify right side
    209,354.36x = 23,872,040,061.74
  5. Step 5: Solve for x
    x = 23,872,040,061.74/209,354.36
  6. Step 6: Final answer
    x = 114,026.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.