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Finding the Fourth Proportional to 214,048.50, 320,992.56 and 171,824.82

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Solution

The fourth proportional to 214,048.50, 320,992.56 and 171,824.82 is: 257,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,048.50 : 320,992.56 = 171,824.82 : x
  2. Step 2: Convert to fraction form
    214,048.50/320,992.56 = 171,824.82/x
  3. Step 3: Cross multiply
    214,048.50x = 320,992.56 × 171,824.82
  4. Step 4: Simplify right side
    214,048.50x = 55,154,488,843.34
  5. Step 5: Solve for x
    x = 55,154,488,843.34/214,048.50
  6. Step 6: Final answer
    x = 257,672.86

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