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Finding the Fourth Proportional to 206,405.39, 284,841.78 and 114,526.33

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Solution

The fourth proportional to 206,405.39, 284,841.78 and 114,526.33 is: 158,047.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,405.39 : 284,841.78 = 114,526.33 : x
  2. Step 2: Convert to fraction form
    206,405.39/284,841.78 = 114,526.33/x
  3. Step 3: Cross multiply
    206,405.39x = 284,841.78 × 114,526.33
  4. Step 4: Simplify right side
    206,405.39x = 32,621,883,694.07
  5. Step 5: Solve for x
    x = 32,621,883,694.07/206,405.39
  6. Step 6: Final answer
    x = 158,047.63

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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.