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Finding the Fourth Proportional to 294,188.96, 405,963.60 and 165,115.44

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Solution

The fourth proportional to 294,188.96, 405,963.60 and 165,115.44 is: 227,849.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,188.96 : 405,963.60 = 165,115.44 : x
  2. Step 2: Convert to fraction form
    294,188.96/405,963.60 = 165,115.44/x
  3. Step 3: Cross multiply
    294,188.96x = 405,963.60 × 165,115.44
  4. Step 4: Simplify right side
    294,188.96x = 67,030,858,437.98
  5. Step 5: Solve for x
    x = 67,030,858,437.98/294,188.96
  6. Step 6: Final answer
    x = 227,849.67

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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.