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Finding the Fourth Proportional to 284,214.11, 392,201.69 and 161,694.96

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Solution

The fourth proportional to 284,214.11, 392,201.69 and 161,694.96 is: 223,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,214.11 : 392,201.69 = 161,694.96 : x
  2. Step 2: Convert to fraction form
    284,214.11/392,201.69 = 161,694.96/x
  3. Step 3: Cross multiply
    284,214.11x = 392,201.69 × 161,694.96
  4. Step 4: Simplify right side
    284,214.11x = 63,417,034,297.25
  5. Step 5: Solve for x
    x = 63,417,034,297.25/284,214.11
  6. Step 6: Final answer
    x = 223,131.20

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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.