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Finding the Fourth Proportional to 172,884.27, 259,334.52 and 84,031.86

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Solution

The fourth proportional to 172,884.27, 259,334.52 and 84,031.86 is: 126,051.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,884.27 : 259,334.52 = 84,031.86 : x
  2. Step 2: Convert to fraction form
    172,884.27/259,334.52 = 84,031.86/x
  3. Step 3: Cross multiply
    172,884.27x = 259,334.52 × 84,031.86
  4. Step 4: Simplify right side
    172,884.27x = 21,792,362,077.81
  5. Step 5: Solve for x
    x = 21,792,362,077.81/172,884.27
  6. Step 6: Final answer
    x = 126,051.73

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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.