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Finding the Fourth Proportional to 181,680.80, 272,521.20 and 161,463.20

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Solution

The fourth proportional to 181,680.80, 272,521.20 and 161,463.20 is: 242,194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,680.80 : 272,521.20 = 161,463.20 : x
  2. Step 2: Convert to fraction form
    181,680.80/272,521.20 = 161,463.20/x
  3. Step 3: Cross multiply
    181,680.80x = 272,521.20 × 161,463.20
  4. Step 4: Simplify right side
    181,680.80x = 44,002,145,019.84
  5. Step 5: Solve for x
    x = 44,002,145,019.84/181,680.80
  6. Step 6: Final answer
    x = 242,194.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.