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Finding the Fourth Proportional to 206,175.63, 284,522.22 and 115,532.31

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Solution

The fourth proportional to 206,175.63, 284,522.22 and 115,532.31 is: 159,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,175.63 : 284,522.22 = 115,532.31 : x
  2. Step 2: Convert to fraction form
    206,175.63/284,522.22 = 115,532.31/x
  3. Step 3: Cross multiply
    206,175.63x = 284,522.22 × 115,532.31
  4. Step 4: Simplify right side
    206,175.63x = 32,871,509,322.93
  5. Step 5: Solve for x
    x = 32,871,509,322.93/206,175.63
  6. Step 6: Final answer
    x = 159,434.50

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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.