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Finding the Fourth Proportional to 193,352.89, 266,828.81 and 108,471.78

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Solution

The fourth proportional to 193,352.89, 266,828.81 and 108,471.78 is: 149,692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,352.89 : 266,828.81 = 108,471.78 : x
  2. Step 2: Convert to fraction form
    193,352.89/266,828.81 = 108,471.78/x
  3. Step 3: Cross multiply
    193,352.89x = 266,828.81 × 108,471.78
  4. Step 4: Simplify right side
    193,352.89x = 28,943,395,975.98
  5. Step 5: Solve for x
    x = 28,943,395,975.98/193,352.89
  6. Step 6: Final answer
    x = 149,692.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.