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Finding the Fourth Proportional to 269,449.88, 371,840.74 and 154,736.06

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Solution

The fourth proportional to 269,449.88, 371,840.74 and 154,736.06 is: 213,535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,449.88 : 371,840.74 = 154,736.06 : x
  2. Step 2: Convert to fraction form
    269,449.88/371,840.74 = 154,736.06/x
  3. Step 3: Cross multiply
    269,449.88x = 371,840.74 × 154,736.06
  4. Step 4: Simplify right side
    269,449.88x = 57,537,171,055.08
  5. Step 5: Solve for x
    x = 57,537,171,055.08/269,449.88
  6. Step 6: Final answer
    x = 213,535.71

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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.