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Finding the Fourth Proportional to 282,225.28, 389,470.38 and 161,368.84

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Solution

The fourth proportional to 282,225.28, 389,470.38 and 161,368.84 is: 222,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,225.28 : 389,470.38 = 161,368.84 : x
  2. Step 2: Convert to fraction form
    282,225.28/389,470.38 = 161,368.84/x
  3. Step 3: Cross multiply
    282,225.28x = 389,470.38 × 161,368.84
  4. Step 4: Simplify right side
    282,225.28x = 62,848,383,434.96
  5. Step 5: Solve for x
    x = 62,848,383,434.96/282,225.28
  6. Step 6: Final answer
    x = 222,688.71

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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.