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Finding the Fourth Proportional to 268,195.92, 402,463.44 and 149,944.92

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Solution

The fourth proportional to 268,195.92, 402,463.44 and 149,944.92 is: 225,012.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,195.92 : 402,463.44 = 149,944.92 : x
  2. Step 2: Convert to fraction form
    268,195.92/402,463.44 = 149,944.92/x
  3. Step 3: Cross multiply
    268,195.92x = 402,463.44 × 149,944.92
  4. Step 4: Simplify right side
    268,195.92x = 60,347,348,313.72
  5. Step 5: Solve for x
    x = 60,347,348,313.72/268,195.92
  6. Step 6: Final answer
    x = 225,012.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.