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Finding the Fourth Proportional to 217,898.13, 300,004.24 and 185,938.77

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Solution

The fourth proportional to 217,898.13, 300,004.24 and 185,938.77 is: 256,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,898.13 : 300,004.24 = 185,938.77 : x
  2. Step 2: Convert to fraction form
    217,898.13/300,004.24 = 185,938.77/x
  3. Step 3: Cross multiply
    217,898.13x = 300,004.24 × 185,938.77
  4. Step 4: Simplify right side
    217,898.13x = 55,782,419,380.38
  5. Step 5: Solve for x
    x = 55,782,419,380.38/217,898.13
  6. Step 6: Final answer
    x = 256,002.29

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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.