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Finding the Fourth Proportional to 214,213.86, 295,581.69 and 123,573.24

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Solution

The fourth proportional to 214,213.86, 295,581.69 and 123,573.24 is: 170,511.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,213.86 : 295,581.69 = 123,573.24 : x
  2. Step 2: Convert to fraction form
    214,213.86/295,581.69 = 123,573.24/x
  3. Step 3: Cross multiply
    214,213.86x = 295,581.69 × 123,573.24
  4. Step 4: Simplify right side
    214,213.86x = 36,525,987,117.98
  5. Step 5: Solve for x
    x = 36,525,987,117.98/214,213.86
  6. Step 6: Final answer
    x = 170,511.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.