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Finding the Fourth Proportional to 231,048.81, 319,285.78 and 166,729.14

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Solution

The fourth proportional to 231,048.81, 319,285.78 and 166,729.14 is: 230,402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,048.81 : 319,285.78 = 166,729.14 : x
  2. Step 2: Convert to fraction form
    231,048.81/319,285.78 = 166,729.14/x
  3. Step 3: Cross multiply
    231,048.81x = 319,285.78 × 166,729.14
  4. Step 4: Simplify right side
    231,048.81x = 53,234,243,513.63
  5. Step 5: Solve for x
    x = 53,234,243,513.63/231,048.81
  6. Step 6: Final answer
    x = 230,402.59

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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.