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Finding the Fourth Proportional to 231,942.30, 347,913.45 and 158,214.30

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Solution

The fourth proportional to 231,942.30, 347,913.45 and 158,214.30 is: 237,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,942.30 : 347,913.45 = 158,214.30 : x
  2. Step 2: Convert to fraction form
    231,942.30/347,913.45 = 158,214.30/x
  3. Step 3: Cross multiply
    231,942.30x = 347,913.45 × 158,214.30
  4. Step 4: Simplify right side
    231,942.30x = 55,044,882,952.34
  5. Step 5: Solve for x
    x = 55,044,882,952.34/231,942.30
  6. Step 6: Final answer
    x = 237,321.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.