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Finding the Fourth Proportional to 208,593.21, 312,968.12 and 96,327.21

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Solution

The fourth proportional to 208,593.21, 312,968.12 and 96,327.21 is: 144,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,593.21 : 312,968.12 = 96,327.21 : x
  2. Step 2: Convert to fraction form
    208,593.21/312,968.12 = 96,327.21/x
  3. Step 3: Cross multiply
    208,593.21x = 312,968.12 × 96,327.21
  4. Step 4: Simplify right side
    208,593.21x = 30,147,345,336.91
  5. Step 5: Solve for x
    x = 30,147,345,336.91/208,593.21
  6. Step 6: Final answer
    x = 144,526.97

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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.