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Finding the Fourth Proportional to 253,164.14, 379,783.97 and 93,227.78

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Solution

The fourth proportional to 253,164.14, 379,783.97 and 93,227.78 is: 139,855.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,164.14 : 379,783.97 = 93,227.78 : x
  2. Step 2: Convert to fraction form
    253,164.14/379,783.97 = 93,227.78/x
  3. Step 3: Cross multiply
    253,164.14x = 379,783.97 × 93,227.78
  4. Step 4: Simplify right side
    253,164.14x = 35,406,414,037.63
  5. Step 5: Solve for x
    x = 35,406,414,037.63/253,164.14
  6. Step 6: Final answer
    x = 139,855.57

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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.