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Finding the Fourth Proportional to 181,322.85, 271,984.03 and 48,203.20

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Solution

The fourth proportional to 181,322.85, 271,984.03 and 48,203.20 is: 72,304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,322.85 : 271,984.03 = 48,203.20 : x
  2. Step 2: Convert to fraction form
    181,322.85/271,984.03 = 48,203.20/x
  3. Step 3: Cross multiply
    181,322.85x = 271,984.03 × 48,203.20
  4. Step 4: Simplify right side
    181,322.85x = 13,110,500,814.37
  5. Step 5: Solve for x
    x = 13,110,500,814.37/181,322.85
  6. Step 6: Final answer
    x = 72,304.73

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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.