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Finding the Fourth Proportional to 269,449.63, 371,840.34 and 154,735.78

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Solution

The fourth proportional to 269,449.63, 371,840.34 and 154,735.78 is: 213,535.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,449.63 : 371,840.34 = 154,735.78 : x
  2. Step 2: Convert to fraction form
    269,449.63/371,840.34 = 154,735.78/x
  3. Step 3: Cross multiply
    269,449.63x = 371,840.34 × 154,735.78
  4. Step 4: Simplify right side
    269,449.63x = 57,537,005,045.37
  5. Step 5: Solve for x
    x = 57,537,005,045.37/269,449.63
  6. Step 6: Final answer
    x = 213,535.29

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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.