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Finding the Fourth Proportional to 231,676, 319,710.72 and 131,074

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Solution

The fourth proportional to 231,676, 319,710.72 and 131,074 is: 180,880.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,676 : 319,710.72 = 131,074 : x
  2. Step 2: Convert to fraction form
    231,676/319,710.72 = 131,074/x
  3. Step 3: Cross multiply
    231,676x = 319,710.72 × 131,074
  4. Step 4: Simplify right side
    231,676x = 41,905,762,913.28
  5. Step 5: Solve for x
    x = 41,905,762,913.28/231,676
  6. Step 6: Final answer
    x = 180,880.90

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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.