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Finding the Fourth Proportional to 214,940.40, 322,410.60 and 57,184.80

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Solution

The fourth proportional to 214,940.40, 322,410.60 and 57,184.80 is: 85,777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,940.40 : 322,410.60 = 57,184.80 : x
  2. Step 2: Convert to fraction form
    214,940.40/322,410.60 = 57,184.80/x
  3. Step 3: Cross multiply
    214,940.40x = 322,410.60 × 57,184.80
  4. Step 4: Simplify right side
    214,940.40x = 18,436,985,678.88
  5. Step 5: Solve for x
    x = 18,436,985,678.88/214,940.40
  6. Step 6: Final answer
    x = 85,777.20

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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.