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Finding the Fourth Proportional to 100,383.14, 150,278.87 and 87,927.49

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Solution

The fourth proportional to 100,383.14, 150,278.87 and 87,927.49 is: 131,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,383.14 : 150,278.87 = 87,927.49 : x
  2. Step 2: Convert to fraction form
    100,383.14/150,278.87 = 87,927.49/x
  3. Step 3: Cross multiply
    100,383.14x = 150,278.87 × 87,927.49
  4. Step 4: Simplify right side
    100,383.14x = 13,213,643,353.53
  5. Step 5: Solve for x
    x = 13,213,643,353.53/100,383.14
  6. Step 6: Final answer
    x = 131,632.10

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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.