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Finding the Fourth Proportional to 263,709.37, 395,823.93 and 187,892.11

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Solution

The fourth proportional to 263,709.37, 395,823.93 and 187,892.11 is: 282,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,709.37 : 395,823.93 = 187,892.11 : x
  2. Step 2: Convert to fraction form
    263,709.37/395,823.93 = 187,892.11/x
  3. Step 3: Cross multiply
    263,709.37x = 395,823.93 × 187,892.11
  4. Step 4: Simplify right side
    263,709.37x = 74,372,193,186.38
  5. Step 5: Solve for x
    x = 74,372,193,186.38/263,709.37
  6. Step 6: Final answer
    x = 282,023.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.