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Finding the Fourth Proportional to 206,026.96, 284,303.67 and 115,362.14

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Solution

The fourth proportional to 206,026.96, 284,303.67 and 115,362.14 is: 159,192.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,026.96 : 284,303.67 = 115,362.14 : x
  2. Step 2: Convert to fraction form
    206,026.96/284,303.67 = 115,362.14/x
  3. Step 3: Cross multiply
    206,026.96x = 284,303.67 × 115,362.14
  4. Step 4: Simplify right side
    206,026.96x = 32,797,880,175.05
  5. Step 5: Solve for x
    x = 32,797,880,175.05/206,026.96
  6. Step 6: Final answer
    x = 159,192.18

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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.