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Finding the Fourth Proportional to 285,534.37, 394,086.23 and 164,654.02

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Solution

The fourth proportional to 285,534.37, 394,086.23 and 164,654.02 is: 227,250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,534.37 : 394,086.23 = 164,654.02 : x
  2. Step 2: Convert to fraction form
    285,534.37/394,086.23 = 164,654.02/x
  3. Step 3: Cross multiply
    285,534.37x = 394,086.23 × 164,654.02
  4. Step 4: Simplify right side
    285,534.37x = 64,887,881,996.14
  5. Step 5: Solve for x
    x = 64,887,881,996.14/285,534.37
  6. Step 6: Final answer
    x = 227,250.69

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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.