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Finding the Fourth Proportional to 209,781.90, 289,499.38 and 119,137.84

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Solution

The fourth proportional to 209,781.90, 289,499.38 and 119,137.84 is: 164,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,781.90 : 289,499.38 = 119,137.84 : x
  2. Step 2: Convert to fraction form
    209,781.90/289,499.38 = 119,137.84/x
  3. Step 3: Cross multiply
    209,781.90x = 289,499.38 × 119,137.84
  4. Step 4: Simplify right side
    209,781.90x = 34,490,329,792.95
  5. Step 5: Solve for x
    x = 34,490,329,792.95/209,781.90
  6. Step 6: Final answer
    x = 164,410.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.