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Finding the Fourth Proportional to 164,144.08, 246,021.72 and 75,322.72

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Solution

The fourth proportional to 164,144.08, 246,021.72 and 75,322.72 is: 112,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,144.08 : 246,021.72 = 75,322.72 : x
  2. Step 2: Convert to fraction form
    164,144.08/246,021.72 = 75,322.72/x
  3. Step 3: Cross multiply
    164,144.08x = 246,021.72 × 75,322.72
  4. Step 4: Simplify right side
    164,144.08x = 18,531,025,129.48
  5. Step 5: Solve for x
    x = 18,531,025,129.48/164,144.08
  6. Step 6: Final answer
    x = 112,894.87

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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.