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Finding the Fourth Proportional to 207,693.84, 311,673.24 and 74,571.36

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Solution

The fourth proportional to 207,693.84, 311,673.24 and 74,571.36 is: 111,904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,693.84 : 311,673.24 = 74,571.36 : x
  2. Step 2: Convert to fraction form
    207,693.84/311,673.24 = 74,571.36/x
  3. Step 3: Cross multiply
    207,693.84x = 311,673.24 × 74,571.36
  4. Step 4: Simplify right side
    207,693.84x = 23,241,897,382.41
  5. Step 5: Solve for x
    x = 23,241,897,382.41/207,693.84
  6. Step 6: Final answer
    x = 111,904.61

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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.