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Finding the Fourth Proportional to 206,026.68, 284,334.90 and 115,381.20

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Solution

The fourth proportional to 206,026.68, 284,334.90 and 115,381.20 is: 159,236.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,026.68 : 284,334.90 = 115,381.20 : x
  2. Step 2: Convert to fraction form
    206,026.68/284,334.90 = 115,381.20/x
  3. Step 3: Cross multiply
    206,026.68x = 284,334.90 × 115,381.20
  4. Step 4: Simplify right side
    206,026.68x = 32,806,901,963.88
  5. Step 5: Solve for x
    x = 32,806,901,963.88/206,026.68
  6. Step 6: Final answer
    x = 159,236.18

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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.