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Finding the Fourth Proportional to 231,797.67, 319,844.25 and 135,017.46

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Solution

The fourth proportional to 231,797.67, 319,844.25 and 135,017.46 is: 186,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,797.67 : 319,844.25 = 135,017.46 : x
  2. Step 2: Convert to fraction form
    231,797.67/319,844.25 = 135,017.46/x
  3. Step 3: Cross multiply
    231,797.67x = 319,844.25 × 135,017.46
  4. Step 4: Simplify right side
    231,797.67x = 43,184,558,230.61
  5. Step 5: Solve for x
    x = 43,184,558,230.61/231,797.67
  6. Step 6: Final answer
    x = 186,302.81

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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.