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Finding the Fourth Proportional to 100,185, 150,329.34 and 50,937

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Solution

The fourth proportional to 100,185, 150,329.34 and 50,937 is: 76,431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,185 : 150,329.34 = 50,937 : x
  2. Step 2: Convert to fraction form
    100,185/150,329.34 = 50,937/x
  3. Step 3: Cross multiply
    100,185x = 150,329.34 × 50,937
  4. Step 4: Simplify right side
    100,185x = 7,657,325,591.58
  5. Step 5: Solve for x
    x = 7,657,325,591.58/100,185
  6. Step 6: Final answer
    x = 76,431.86

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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.