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Finding the Fourth Proportional to 165,958.86, 248,938.34 and 41,299.86

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Solution

The fourth proportional to 165,958.86, 248,938.34 and 41,299.86 is: 61,949.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,958.86 : 248,938.34 = 41,299.86 : x
  2. Step 2: Convert to fraction form
    165,958.86/248,938.34 = 41,299.86/x
  3. Step 3: Cross multiply
    165,958.86x = 248,938.34 × 41,299.86
  4. Step 4: Simplify right side
    165,958.86x = 10,281,118,590.63
  5. Step 5: Solve for x
    x = 10,281,118,590.63/165,958.86
  6. Step 6: Final answer
    x = 61,949.80

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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.