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Finding the Fourth Proportional to 214,873.17, 322,109.42 and 72,618.98

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Solution

The fourth proportional to 214,873.17, 322,109.42 and 72,618.98 is: 108,860.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,873.17 : 322,109.42 = 72,618.98 : x
  2. Step 2: Convert to fraction form
    214,873.17/322,109.42 = 72,618.98/x
  3. Step 3: Cross multiply
    214,873.17x = 322,109.42 × 72,618.98
  4. Step 4: Simplify right side
    214,873.17x = 23,391,256,099.79
  5. Step 5: Solve for x
    x = 23,391,256,099.79/214,873.17
  6. Step 6: Final answer
    x = 108,860.76

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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.