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Finding the Fourth Proportional to 194,382.47, 268,250.49 and 108,339.05

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Solution

The fourth proportional to 194,382.47, 268,250.49 and 108,339.05 is: 149,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,382.47 : 268,250.49 = 108,339.05 : x
  2. Step 2: Convert to fraction form
    194,382.47/268,250.49 = 108,339.05/x
  3. Step 3: Cross multiply
    194,382.47x = 268,250.49 × 108,339.05
  4. Step 4: Simplify right side
    194,382.47x = 29,062,001,365.69
  5. Step 5: Solve for x
    x = 29,062,001,365.69/194,382.47
  6. Step 6: Final answer
    x = 149,509.38

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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.