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Finding the Fourth Proportional to 227,754.36, 314,285.40 and 137,092.68

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Solution

The fourth proportional to 227,754.36, 314,285.40 and 137,092.68 is: 189,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,754.36 : 314,285.40 = 137,092.68 : x
  2. Step 2: Convert to fraction form
    227,754.36/314,285.40 = 137,092.68/x
  3. Step 3: Cross multiply
    227,754.36x = 314,285.40 × 137,092.68
  4. Step 4: Simplify right side
    227,754.36x = 43,086,227,770.87
  5. Step 5: Solve for x
    x = 43,086,227,770.87/227,754.36
  6. Step 6: Final answer
    x = 189,178.50

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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.