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Finding the Fourth Proportional to 214,576.89, 321,895.41 and 64,800.21

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Solution

The fourth proportional to 214,576.89, 321,895.41 and 64,800.21 is: 97,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,576.89 : 321,895.41 = 64,800.21 : x
  2. Step 2: Convert to fraction form
    214,576.89/321,895.41 = 64,800.21/x
  3. Step 3: Cross multiply
    214,576.89x = 321,895.41 × 64,800.21
  4. Step 4: Simplify right side
    214,576.89x = 20,858,890,166.04
  5. Step 5: Solve for x
    x = 20,858,890,166.04/214,576.89
  6. Step 6: Final answer
    x = 97,209.40

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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.