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Finding the Fourth Proportional to 273,835.86, 409,754.64 and 161,569.86

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Solution

The fourth proportional to 273,835.86, 409,754.64 and 161,569.86 is: 241,765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,835.86 : 409,754.64 = 161,569.86 : x
  2. Step 2: Convert to fraction form
    273,835.86/409,754.64 = 161,569.86/x
  3. Step 3: Cross multiply
    273,835.86x = 409,754.64 × 161,569.86
  4. Step 4: Simplify right side
    273,835.86x = 66,203,999,819.15
  5. Step 5: Solve for x
    x = 66,203,999,819.15/273,835.86
  6. Step 6: Final answer
    x = 241,765.27

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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.