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Finding the Fourth Proportional to 100,186, 150,355.20 and 37,065.88

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Solution

The fourth proportional to 100,186, 150,355.20 and 37,065.88 is: 55,627.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,186 : 150,355.20 = 37,065.88 : x
  2. Step 2: Convert to fraction form
    100,186/150,355.20 = 37,065.88/x
  3. Step 3: Cross multiply
    100,186x = 150,355.20 × 37,065.88
  4. Step 4: Simplify right side
    100,186x = 5,573,047,800.58
  5. Step 5: Solve for x
    x = 5,573,047,800.58/100,186
  6. Step 6: Final answer
    x = 55,627.01

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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.