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Finding the Fourth Proportional to 182,998.64, 273,252.31 and 161,471.95

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Solution

The fourth proportional to 182,998.64, 273,252.31 and 161,471.95 is: 241,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,998.64 : 273,252.31 = 161,471.95 : x
  2. Step 2: Convert to fraction form
    182,998.64/273,252.31 = 161,471.95/x
  3. Step 3: Cross multiply
    182,998.64x = 273,252.31 × 161,471.95
  4. Step 4: Simplify right side
    182,998.64x = 44,122,583,337.70
  5. Step 5: Solve for x
    x = 44,122,583,337.70/182,998.64
  6. Step 6: Final answer
    x = 241,108.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.