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Finding the Fourth Proportional to 182,664, 274,078.08 and 116,086.86

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Solution

The fourth proportional to 182,664, 274,078.08 and 116,086.86 is: 174,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,664 : 274,078.08 = 116,086.86 : x
  2. Step 2: Convert to fraction form
    182,664/274,078.08 = 116,086.86/x
  3. Step 3: Cross multiply
    182,664x = 274,078.08 × 116,086.86
  4. Step 4: Simplify right side
    182,664x = 31,816,863,702.03
  5. Step 5: Solve for x
    x = 31,816,863,702.03/182,664
  6. Step 6: Final answer
    x = 174,182.45

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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.