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Finding the Fourth Proportional to 209,792.87, 289,514.20 and 114,299.57

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Solution

The fourth proportional to 209,792.87, 289,514.20 and 114,299.57 is: 157,733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,792.87 : 289,514.20 = 114,299.57 : x
  2. Step 2: Convert to fraction form
    209,792.87/289,514.20 = 114,299.57/x
  3. Step 3: Cross multiply
    209,792.87x = 289,514.20 × 114,299.57
  4. Step 4: Simplify right side
    209,792.87x = 33,091,348,568.89
  5. Step 5: Solve for x
    x = 33,091,348,568.89/209,792.87
  6. Step 6: Final answer
    x = 157,733.43

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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.