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Finding the Fourth Proportional to 100,184, 150,327.84 and 50,936

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Solution

The fourth proportional to 100,184, 150,327.84 and 50,936 is: 76,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,184 : 150,327.84 = 50,936 : x
  2. Step 2: Convert to fraction form
    100,184/150,327.84 = 50,936/x
  3. Step 3: Cross multiply
    100,184x = 150,327.84 × 50,936
  4. Step 4: Simplify right side
    100,184x = 7,657,098,858.24
  5. Step 5: Solve for x
    x = 7,657,098,858.24/100,184
  6. Step 6: Final answer
    x = 76,430.36

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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.