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Finding the Fourth Proportional to 296,123.92, 408,657 and 161,996.56

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Solution

The fourth proportional to 296,123.92, 408,657 and 161,996.56 is: 223,558.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,123.92 : 408,657 = 161,996.56 : x
  2. Step 2: Convert to fraction form
    296,123.92/408,657 = 161,996.56/x
  3. Step 3: Cross multiply
    296,123.92x = 408,657 × 161,996.56
  4. Step 4: Simplify right side
    296,123.92x = 66,201,028,219.92
  5. Step 5: Solve for x
    x = 66,201,028,219.92/296,123.92
  6. Step 6: Final answer
    x = 223,558.53

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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.