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Finding the Fourth Proportional to 231,448.96, 347,176.32 and 73,676.80

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Solution

The fourth proportional to 231,448.96, 347,176.32 and 73,676.80 is: 110,516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,448.96 : 347,176.32 = 73,676.80 : x
  2. Step 2: Convert to fraction form
    231,448.96/347,176.32 = 73,676.80/x
  3. Step 3: Cross multiply
    231,448.96x = 347,176.32 × 73,676.80
  4. Step 4: Simplify right side
    231,448.96x = 25,578,840,293.38
  5. Step 5: Solve for x
    x = 25,578,840,293.38/231,448.96
  6. Step 6: Final answer
    x = 110,516.12

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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.