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Finding the Fourth Proportional to 231,931, 320,064.78 and 131,348.44

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Solution

The fourth proportional to 231,931, 320,064.78 and 131,348.44 is: 181,260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,931 : 320,064.78 = 131,348.44 : x
  2. Step 2: Convert to fraction form
    231,931/320,064.78 = 131,348.44/x
  3. Step 3: Cross multiply
    231,931x = 320,064.78 × 131,348.44
  4. Step 4: Simplify right side
    231,931x = 42,040,009,551.94
  5. Step 5: Solve for x
    x = 42,040,009,551.94/231,931
  6. Step 6: Final answer
    x = 181,260.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.