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Finding the Fourth Proportional to 209,197.12, 313,781.28 and 120,385.12

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Solution

The fourth proportional to 209,197.12, 313,781.28 and 120,385.12 is: 180,569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,197.12 : 313,781.28 = 120,385.12 : x
  2. Step 2: Convert to fraction form
    209,197.12/313,781.28 = 120,385.12/x
  3. Step 3: Cross multiply
    209,197.12x = 313,781.28 × 120,385.12
  4. Step 4: Simplify right side
    209,197.12x = 37,774,597,046.55
  5. Step 5: Solve for x
    x = 37,774,597,046.55/209,197.12
  6. Step 6: Final answer
    x = 180,569.39

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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.