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Finding the Fourth Proportional to 214,289.49, 321,498.48 and 64,534.68

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Solution

The fourth proportional to 214,289.49, 321,498.48 and 64,534.68 is: 96,821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,289.49 : 321,498.48 = 64,534.68 : x
  2. Step 2: Convert to fraction form
    214,289.49/321,498.48 = 64,534.68/x
  3. Step 3: Cross multiply
    214,289.49x = 321,498.48 × 64,534.68
  4. Step 4: Simplify right side
    214,289.49x = 20,747,801,527.29
  5. Step 5: Solve for x
    x = 20,747,801,527.29/214,289.49
  6. Step 6: Final answer
    x = 96,821.37

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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.