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Finding the Fourth Proportional to 100,197, 150,164.28 and 55,844.64

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Solution

The fourth proportional to 100,197, 150,164.28 and 55,844.64 is: 83,693.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,197 : 150,164.28 = 55,844.64 : x
  2. Step 2: Convert to fraction form
    100,197/150,164.28 = 55,844.64/x
  3. Step 3: Cross multiply
    100,197x = 150,164.28 × 55,844.64
  4. Step 4: Simplify right side
    100,197x = 8,385,870,157.46
  5. Step 5: Solve for x
    x = 8,385,870,157.46/100,197
  6. Step 6: Final answer
    x = 83,693.82

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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.