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Finding the Fourth Proportional to 282,096.43, 389,319.44 and 161,214.11

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Solution

The fourth proportional to 282,096.43, 389,319.44 and 161,214.11 is: 222,490.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,096.43 : 389,319.44 = 161,214.11 : x
  2. Step 2: Convert to fraction form
    282,096.43/389,319.44 = 161,214.11/x
  3. Step 3: Cross multiply
    282,096.43x = 389,319.44 × 161,214.11
  4. Step 4: Simplify right side
    282,096.43x = 62,763,784,272.63
  5. Step 5: Solve for x
    x = 62,763,784,272.63/282,096.43
  6. Step 6: Final answer
    x = 222,490.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.