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Finding the Fourth Proportional to 282,132.63, 389,349.76 and 161,285.16

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Solution

The fourth proportional to 282,132.63, 389,349.76 and 161,285.16 is: 222,577.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,132.63 : 389,349.76 = 161,285.16 : x
  2. Step 2: Convert to fraction form
    282,132.63/389,349.76 = 161,285.16/x
  3. Step 3: Cross multiply
    282,132.63x = 389,349.76 × 161,285.16
  4. Step 4: Simplify right side
    282,132.63x = 62,796,338,337.56
  5. Step 5: Solve for x
    x = 62,796,338,337.56/282,132.63
  6. Step 6: Final answer
    x = 222,577.37

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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.