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Finding the Fourth Proportional to 258,801.30, 357,153.80 and 140,936.11

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Solution

The fourth proportional to 258,801.30, 357,153.80 and 140,936.11 is: 194,496.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,801.30 : 357,153.80 = 140,936.11 : x
  2. Step 2: Convert to fraction form
    258,801.30/357,153.80 = 140,936.11/x
  3. Step 3: Cross multiply
    258,801.30x = 357,153.80 × 140,936.11
  4. Step 4: Simplify right side
    258,801.30x = 50,335,867,243.72
  5. Step 5: Solve for x
    x = 50,335,867,243.72/258,801.30
  6. Step 6: Final answer
    x = 194,496.19

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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.