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Finding the Fourth Proportional to 214,969.77, 322,454.21 and 57,198.22

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Solution

The fourth proportional to 214,969.77, 322,454.21 and 57,198.22 is: 85,797.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,969.77 : 322,454.21 = 57,198.22 : x
  2. Step 2: Convert to fraction form
    214,969.77/322,454.21 = 57,198.22/x
  3. Step 3: Cross multiply
    214,969.77x = 322,454.21 × 57,198.22
  4. Step 4: Simplify right side
    214,969.77x = 18,443,805,751.38
  5. Step 5: Solve for x
    x = 18,443,805,751.38/214,969.77
  6. Step 6: Final answer
    x = 85,797.21

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1.5x scale

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.