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Finding the Fourth Proportional to 113,198.16, 169,797.08 and 30,092.16

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Solution

The fourth proportional to 113,198.16, 169,797.08 and 30,092.16 is: 45,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,198.16 : 169,797.08 = 30,092.16 : x
  2. Step 2: Convert to fraction form
    113,198.16/169,797.08 = 30,092.16/x
  3. Step 3: Cross multiply
    113,198.16x = 169,797.08 × 30,092.16
  4. Step 4: Simplify right side
    113,198.16x = 5,109,560,898.89
  5. Step 5: Solve for x
    x = 5,109,560,898.89/113,198.16
  6. Step 6: Final answer
    x = 45,138.20

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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.