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Finding the Fourth Proportional to 214,992.03, 322,488.74 and 65,233.56

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Solution

The fourth proportional to 214,992.03, 322,488.74 and 65,233.56 is: 97,850.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,992.03 : 322,488.74 = 65,233.56 : x
  2. Step 2: Convert to fraction form
    214,992.03/322,488.74 = 65,233.56/x
  3. Step 3: Cross multiply
    214,992.03x = 322,488.74 × 65,233.56
  4. Step 4: Simplify right side
    214,992.03x = 21,037,088,570.11
  5. Step 5: Solve for x
    x = 21,037,088,570.11/214,992.03
  6. Step 6: Final answer
    x = 97,850.55

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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.