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Finding the Fourth Proportional to 209,782.39, 289,500.07 and 119,138.34

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Solution

The fourth proportional to 209,782.39, 289,500.07 and 119,138.34 is: 164,411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,782.39 : 289,500.07 = 119,138.34 : x
  2. Step 2: Convert to fraction form
    209,782.39/289,500.07 = 119,138.34/x
  3. Step 3: Cross multiply
    209,782.39x = 289,500.07 × 119,138.34
  4. Step 4: Simplify right side
    209,782.39x = 34,490,557,769.68
  5. Step 5: Solve for x
    x = 34,490,557,769.68/209,782.39
  6. Step 6: Final answer
    x = 164,411.12

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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.