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Finding the Fourth Proportional to 209,354.30, 313,781.26 and 76,078.52

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Solution

The fourth proportional to 209,354.30, 313,781.26 and 76,078.52 is: 114,026.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,354.30 : 313,781.26 = 76,078.52 : x
  2. Step 2: Convert to fraction form
    209,354.30/313,781.26 = 76,078.52/x
  3. Step 3: Cross multiply
    209,354.30x = 313,781.26 × 76,078.52
  4. Step 4: Simplify right side
    209,354.30x = 23,872,013,864.54
  5. Step 5: Solve for x
    x = 23,872,013,864.54/209,354.30
  6. Step 6: Final answer
    x = 114,026.86

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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.