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Finding the Fourth Proportional to 100,185.70, 150,185.66 and 36,970.96

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Solution

The fourth proportional to 100,185.70, 150,185.66 and 36,970.96 is: 55,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,185.70 : 150,185.66 = 36,970.96 : x
  2. Step 2: Convert to fraction form
    100,185.70/150,185.66 = 36,970.96/x
  3. Step 3: Cross multiply
    100,185.70x = 150,185.66 × 36,970.96
  4. Step 4: Simplify right side
    100,185.70x = 5,552,508,028.43
  5. Step 5: Solve for x
    x = 5,552,508,028.43/100,185.70
  6. Step 6: Final answer
    x = 55,422.16

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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.