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Finding the Fourth Proportional to 282,361.50, 389,661.06 and 161,495.52

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Solution

The fourth proportional to 282,361.50, 389,661.06 and 161,495.52 is: 222,865.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,361.50 : 389,661.06 = 161,495.52 : x
  2. Step 2: Convert to fraction form
    282,361.50/389,661.06 = 161,495.52/x
  3. Step 3: Cross multiply
    282,361.50x = 389,661.06 × 161,495.52
  4. Step 4: Simplify right side
    282,361.50x = 62,928,515,508.45
  5. Step 5: Solve for x
    x = 62,928,515,508.45/282,361.50
  6. Step 6: Final answer
    x = 222,865.07

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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.