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Finding the Fourth Proportional to 85,198.56, 127,797.99 and 85,075.57

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Solution

The fourth proportional to 85,198.56, 127,797.99 and 85,075.57 is: 127,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,198.56 : 127,797.99 = 85,075.57 : x
  2. Step 2: Convert to fraction form
    85,198.56/127,797.99 = 85,075.57/x
  3. Step 3: Cross multiply
    85,198.56x = 127,797.99 × 85,075.57
  4. Step 4: Simplify right side
    85,198.56x = 10,872,486,844.10
  5. Step 5: Solve for x
    x = 10,872,486,844.10/85,198.56
  6. Step 6: Final answer
    x = 127,613.50

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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.