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Finding the Fourth Proportional to 231,347.32, 319,241.71 and 140,690.77

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Solution

The fourth proportional to 231,347.32, 319,241.71 and 140,690.77 is: 194,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,347.32 : 319,241.71 = 140,690.77 : x
  2. Step 2: Convert to fraction form
    231,347.32/319,241.71 = 140,690.77/x
  3. Step 3: Cross multiply
    231,347.32x = 319,241.71 × 140,690.77
  4. Step 4: Simplify right side
    231,347.32x = 44,914,361,996.02
  5. Step 5: Solve for x
    x = 44,914,361,996.02/231,347.32
  6. Step 6: Final answer
    x = 194,142.56

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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.