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Finding the Fourth Proportional to 179,409.94, 269,114.91 and 74,231.64

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Solution

The fourth proportional to 179,409.94, 269,114.91 and 74,231.64 is: 111,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,409.94 : 269,114.91 = 74,231.64 : x
  2. Step 2: Convert to fraction form
    179,409.94/269,114.91 = 74,231.64/x
  3. Step 3: Cross multiply
    179,409.94x = 269,114.91 × 74,231.64
  4. Step 4: Simplify right side
    179,409.94x = 19,976,840,839.38
  5. Step 5: Solve for x
    x = 19,976,840,839.38/179,409.94
  6. Step 6: Final answer
    x = 111,347.46

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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.