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Finding the Fourth Proportional to 214,050.50, 320,995.56 and 171,826.82

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Solution

The fourth proportional to 214,050.50, 320,995.56 and 171,826.82 is: 257,675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,050.50 : 320,995.56 = 171,826.82 : x
  2. Step 2: Convert to fraction form
    214,050.50/320,995.56 = 171,826.82/x
  3. Step 3: Cross multiply
    214,050.50x = 320,995.56 × 171,826.82
  4. Step 4: Simplify right side
    214,050.50x = 55,155,646,308.92
  5. Step 5: Solve for x
    x = 55,155,646,308.92/214,050.50
  6. Step 6: Final answer
    x = 257,675.86

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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.