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Finding the Fourth Proportional to 231,471.40, 347,322.30 and 91,234.60

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Solution

The fourth proportional to 231,471.40, 347,322.30 and 91,234.60 is: 136,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,471.40 : 347,322.30 = 91,234.60 : x
  2. Step 2: Convert to fraction form
    231,471.40/347,322.30 = 91,234.60/x
  3. Step 3: Cross multiply
    231,471.40x = 347,322.30 × 91,234.60
  4. Step 4: Simplify right side
    231,471.40x = 31,687,811,111.58
  5. Step 5: Solve for x
    x = 31,687,811,111.58/231,471.40
  6. Step 6: Final answer
    x = 136,897.31

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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.