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Finding the Fourth Proportional to 282,093.47, 389,288.99 and 161,237.36

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Solution

The fourth proportional to 282,093.47, 389,288.99 and 161,237.36 is: 222,507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,093.47 : 389,288.99 = 161,237.36 : x
  2. Step 2: Convert to fraction form
    282,093.47/389,288.99 = 161,237.36/x
  3. Step 3: Cross multiply
    282,093.47x = 389,288.99 × 161,237.36
  4. Step 4: Simplify right side
    282,093.47x = 62,767,926,272.03
  5. Step 5: Solve for x
    x = 62,767,926,272.03/282,093.47
  6. Step 6: Final answer
    x = 222,507.55

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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.