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Finding the Fourth Proportional to 102,272.68, 153,186.90 and 49,571.56

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Solution

The fourth proportional to 102,272.68, 153,186.90 and 49,571.56 is: 74,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,272.68 : 153,186.90 = 49,571.56 : x
  2. Step 2: Convert to fraction form
    102,272.68/153,186.90 = 49,571.56/x
  3. Step 3: Cross multiply
    102,272.68x = 153,186.90 × 49,571.56
  4. Step 4: Simplify right side
    102,272.68x = 7,593,713,604.56
  5. Step 5: Solve for x
    x = 7,593,713,604.56/102,272.68
  6. Step 6: Final answer
    x = 74,249.68

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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.