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Finding the Fourth Proportional to 171,198.32, 256,297.80 and 99,902.48

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Solution

The fourth proportional to 171,198.32, 256,297.80 and 99,902.48 is: 149,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,198.32 : 256,297.80 = 99,902.48 : x
  2. Step 2: Convert to fraction form
    171,198.32/256,297.80 = 99,902.48/x
  3. Step 3: Cross multiply
    171,198.32x = 256,297.80 × 99,902.48
  4. Step 4: Simplify right side
    171,198.32x = 25,604,785,838.54
  5. Step 5: Solve for x
    x = 25,604,785,838.54/171,198.32
  6. Step 6: Final answer
    x = 149,562.13

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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.