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Finding the Fourth Proportional to 231,158.64, 319,021.56 and 140,507.76

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Solution

The fourth proportional to 231,158.64, 319,021.56 and 140,507.76 is: 193,914.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,158.64 : 319,021.56 = 140,507.76 : x
  2. Step 2: Convert to fraction form
    231,158.64/319,021.56 = 140,507.76/x
  3. Step 3: Cross multiply
    231,158.64x = 319,021.56 × 140,507.76
  4. Step 4: Simplify right side
    231,158.64x = 44,825,004,787.31
  5. Step 5: Solve for x
    x = 44,825,004,787.31/231,158.64
  6. Step 6: Final answer
    x = 193,914.47

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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.