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Finding the Fourth Proportional to 206,180.51, 284,528.90 and 115,537.19

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Solution

The fourth proportional to 206,180.51, 284,528.90 and 115,537.19 is: 159,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,180.51 : 284,528.90 = 115,537.19 : x
  2. Step 2: Convert to fraction form
    206,180.51/284,528.90 = 115,537.19/x
  3. Step 3: Cross multiply
    206,180.51x = 284,528.90 × 115,537.19
  4. Step 4: Simplify right side
    206,180.51x = 32,873,668,445.99
  5. Step 5: Solve for x
    x = 32,873,668,445.99/206,180.51
  6. Step 6: Final answer
    x = 159,441.21

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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.