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Finding the Fourth Proportional to 214,992.70, 322,504.23 and 65,245.16

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Solution

The fourth proportional to 214,992.70, 322,504.23 and 65,245.16 is: 97,872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,992.70 : 322,504.23 = 65,245.16 : x
  2. Step 2: Convert to fraction form
    214,992.70/322,504.23 = 65,245.16/x
  3. Step 3: Cross multiply
    214,992.70x = 322,504.23 × 65,245.16
  4. Step 4: Simplify right side
    214,992.70x = 21,041,841,137.96
  5. Step 5: Solve for x
    x = 21,041,841,137.96/214,992.70
  6. Step 6: Final answer
    x = 97,872.35

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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.