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Finding the Fourth Proportional to 214,249.80, 321,373.08 and 64,489.44

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Solution

The fourth proportional to 214,249.80, 321,373.08 and 64,489.44 is: 96,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,249.80 : 321,373.08 = 64,489.44 : x
  2. Step 2: Convert to fraction form
    214,249.80/321,373.08 = 64,489.44/x
  3. Step 3: Cross multiply
    214,249.80x = 321,373.08 × 64,489.44
  4. Step 4: Simplify right side
    214,249.80x = 20,725,169,960.28
  5. Step 5: Solve for x
    x = 20,725,169,960.28/214,249.80
  6. Step 6: Final answer
    x = 96,733.67

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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.