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Finding the Fourth Proportional to 263,693.55, 363,896.92 and 142,834.56

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Solution

The fourth proportional to 263,693.55, 363,896.92 and 142,834.56 is: 197,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,693.55 : 363,896.92 = 142,834.56 : x
  2. Step 2: Convert to fraction form
    263,693.55/363,896.92 = 142,834.56/x
  3. Step 3: Cross multiply
    263,693.55x = 363,896.92 × 142,834.56
  4. Step 4: Simplify right side
    263,693.55x = 51,977,056,453.56
  5. Step 5: Solve for x
    x = 51,977,056,453.56/263,693.55
  6. Step 6: Final answer
    x = 197,111.60

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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.