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Finding the Fourth Proportional to 206,426.40, 284,884.56 and 115,802.70

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Solution

The fourth proportional to 206,426.40, 284,884.56 and 115,802.70 is: 159,816.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,426.40 : 284,884.56 = 115,802.70 : x
  2. Step 2: Convert to fraction form
    206,426.40/284,884.56 = 115,802.70/x
  3. Step 3: Cross multiply
    206,426.40x = 284,884.56 × 115,802.70
  4. Step 4: Simplify right side
    206,426.40x = 32,990,401,236.31
  5. Step 5: Solve for x
    x = 32,990,401,236.31/206,426.40
  6. Step 6: Final answer
    x = 159,816.77

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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.