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Finding the Fourth Proportional to 200,489.56, 276,640.43 and 114,409.24

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Solution

The fourth proportional to 200,489.56, 276,640.43 and 114,409.24 is: 157,864.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,489.56 : 276,640.43 = 114,409.24 : x
  2. Step 2: Convert to fraction form
    200,489.56/276,640.43 = 114,409.24/x
  3. Step 3: Cross multiply
    200,489.56x = 276,640.43 × 114,409.24
  4. Step 4: Simplify right side
    200,489.56x = 31,650,220,085.93
  5. Step 5: Solve for x
    x = 31,650,220,085.93/200,489.56
  6. Step 6: Final answer
    x = 157,864.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.