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Finding the Fourth Proportional to 206,080.35, 284,111.66 and 176,186.79

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Solution

The fourth proportional to 206,080.35, 284,111.66 and 176,186.79 is: 242,899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,080.35 : 284,111.66 = 176,186.79 : x
  2. Step 2: Convert to fraction form
    206,080.35/284,111.66 = 176,186.79/x
  3. Step 3: Cross multiply
    206,080.35x = 284,111.66 × 176,186.79
  4. Step 4: Simplify right side
    206,080.35x = 50,056,720,496.04
  5. Step 5: Solve for x
    x = 50,056,720,496.04/206,080.35
  6. Step 6: Final answer
    x = 242,899.05

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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.