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Finding the Fourth Proportional to 214,608.66, 321,916.04 and 64,850.20

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Solution

The fourth proportional to 214,608.66, 321,916.04 and 64,850.20 is: 97,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,608.66 : 321,916.04 = 64,850.20 : x
  2. Step 2: Convert to fraction form
    214,608.66/321,916.04 = 64,850.20/x
  3. Step 3: Cross multiply
    214,608.66x = 321,916.04 × 64,850.20
  4. Step 4: Simplify right side
    214,608.66x = 20,876,319,577.21
  5. Step 5: Solve for x
    x = 20,876,319,577.21/214,608.66
  6. Step 6: Final answer
    x = 97,276.22

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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.