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Finding the Fourth Proportional to 209,792.64, 289,512.24 and 114,299.04

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Solution

The fourth proportional to 209,792.64, 289,512.24 and 114,299.04 is: 157,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,792.64 : 289,512.24 = 114,299.04 : x
  2. Step 2: Convert to fraction form
    209,792.64/289,512.24 = 114,299.04/x
  3. Step 3: Cross multiply
    209,792.64x = 289,512.24 × 114,299.04
  4. Step 4: Simplify right side
    209,792.64x = 33,090,971,100.25
  5. Step 5: Solve for x
    x = 33,090,971,100.25/209,792.64
  6. Step 6: Final answer
    x = 157,731.80

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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.