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Finding the Fourth Proportional to 82,198.04, 113,330 and 67,075.32

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Solution

The fourth proportional to 82,198.04, 113,330 and 67,075.32 is: 92,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,198.04 : 113,330 = 67,075.32 : x
  2. Step 2: Convert to fraction form
    82,198.04/113,330 = 67,075.32/x
  3. Step 3: Cross multiply
    82,198.04x = 113,330 × 67,075.32
  4. Step 4: Simplify right side
    82,198.04x = 7,601,646,015.60
  5. Step 5: Solve for x
    x = 7,601,646,015.60/82,198.04
  6. Step 6: Final answer
    x = 92,479.65

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1.5x scale

Why These Related Problems?

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