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Finding the Fourth Proportional to 209,841.72, 289,572.57 and 119,197.41

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Solution

The fourth proportional to 209,841.72, 289,572.57 and 119,197.41 is: 164,487.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,841.72 : 289,572.57 = 119,197.41 : x
  2. Step 2: Convert to fraction form
    209,841.72/289,572.57 = 119,197.41/x
  3. Step 3: Cross multiply
    209,841.72x = 289,572.57 × 119,197.41
  4. Step 4: Simplify right side
    209,841.72x = 34,516,300,351.04
  5. Step 5: Solve for x
    x = 34,516,300,351.04/209,841.72
  6. Step 6: Final answer
    x = 164,487.31

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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.