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Finding the Fourth Proportional to 284,750.96, 392,960.52 and 192,898.34

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Solution

The fourth proportional to 284,750.96, 392,960.52 and 192,898.34 is: 266,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,750.96 : 392,960.52 = 192,898.34 : x
  2. Step 2: Convert to fraction form
    284,750.96/392,960.52 = 192,898.34/x
  3. Step 3: Cross multiply
    284,750.96x = 392,960.52 × 192,898.34
  4. Step 4: Simplify right side
    284,750.96x = 75,801,430,028.73
  5. Step 5: Solve for x
    x = 75,801,430,028.73/284,750.96
  6. Step 6: Final answer
    x = 266,202.55

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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.