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Finding the Fourth Proportional to 181,493.80, 271,722.30 and 162,831.40

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Solution

The fourth proportional to 181,493.80, 271,722.30 and 162,831.40 is: 243,782.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,493.80 : 271,722.30 = 162,831.40 : x
  2. Step 2: Convert to fraction form
    181,493.80/271,722.30 = 162,831.40/x
  3. Step 3: Cross multiply
    181,493.80x = 271,722.30 × 162,831.40
  4. Step 4: Simplify right side
    181,493.80x = 44,244,922,520.22
  5. Step 5: Solve for x
    x = 44,244,922,520.22/181,493.80
  6. Step 6: Final answer
    x = 243,782.01

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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.