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Finding the Fourth Proportional to 217,902.63, 300,010.44 and 185,943.27

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Solution

The fourth proportional to 217,902.63, 300,010.44 and 185,943.27 is: 256,008.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,902.63 : 300,010.44 = 185,943.27 : x
  2. Step 2: Convert to fraction form
    217,902.63/300,010.44 = 185,943.27/x
  3. Step 3: Cross multiply
    217,902.63x = 300,010.44 × 185,943.27
  4. Step 4: Simplify right side
    217,902.63x = 55,784,922,247.74
  5. Step 5: Solve for x
    x = 55,784,922,247.74/217,902.63
  6. Step 6: Final answer
    x = 256,008.49

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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.