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Finding the Fourth Proportional to 214,302.67, 321,350.10 and 64,515.04

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Solution

The fourth proportional to 214,302.67, 321,350.10 and 64,515.04 is: 96,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,302.67 : 321,350.10 = 64,515.04 : x
  2. Step 2: Convert to fraction form
    214,302.67/321,350.10 = 64,515.04/x
  3. Step 3: Cross multiply
    214,302.67x = 321,350.10 × 64,515.04
  4. Step 4: Simplify right side
    214,302.67x = 20,731,914,555.50
  5. Step 5: Solve for x
    x = 20,731,914,555.50/214,302.67
  6. Step 6: Final answer
    x = 96,741.28

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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.