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Finding the Fourth Proportional to 209,838.72, 289,568.43 and 119,194.41

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Solution

The fourth proportional to 209,838.72, 289,568.43 and 119,194.41 is: 164,483.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,838.72 : 289,568.43 = 119,194.41 : x
  2. Step 2: Convert to fraction form
    209,838.72/289,568.43 = 119,194.41/x
  3. Step 3: Cross multiply
    209,838.72x = 289,568.43 × 119,194.41
  4. Step 4: Simplify right side
    209,838.72x = 34,514,938,168.48
  5. Step 5: Solve for x
    x = 34,514,938,168.48/209,838.72
  6. Step 6: Final answer
    x = 164,483.17

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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.