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Finding the Fourth Proportional to 214,950.96, 322,474.73 and 72,788.06

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Solution

The fourth proportional to 214,950.96, 322,474.73 and 72,788.06 is: 109,198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,950.96 : 322,474.73 = 72,788.06 : x
  2. Step 2: Convert to fraction form
    214,950.96/322,474.73 = 72,788.06/x
  3. Step 3: Cross multiply
    214,950.96x = 322,474.73 × 72,788.06
  4. Step 4: Simplify right side
    214,950.96x = 23,472,308,019.41
  5. Step 5: Solve for x
    x = 23,472,308,019.41/214,950.96
  6. Step 6: Final answer
    x = 109,198.43

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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.