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Finding the Fourth Proportional to 282,340.21, 389,518.38 and 161,416.54

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Solution

The fourth proportional to 282,340.21, 389,518.38 and 161,416.54 is: 222,691.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,340.21 : 389,518.38 = 161,416.54 : x
  2. Step 2: Convert to fraction form
    282,340.21/389,518.38 = 161,416.54/x
  3. Step 3: Cross multiply
    282,340.21x = 389,518.38 × 161,416.54
  4. Step 4: Simplify right side
    282,340.21x = 62,874,709,166.01
  5. Step 5: Solve for x
    x = 62,874,709,166.01/282,340.21
  6. Step 6: Final answer
    x = 222,691.30

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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.