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Finding the Fourth Proportional to 231,633.72, 347,363.10 and 98,576.64

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Solution

The fourth proportional to 231,633.72, 347,363.10 and 98,576.64 is: 147,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,633.72 : 347,363.10 = 98,576.64 : x
  2. Step 2: Convert to fraction form
    231,633.72/347,363.10 = 98,576.64/x
  3. Step 3: Cross multiply
    231,633.72x = 347,363.10 × 98,576.64
  4. Step 4: Simplify right side
    231,633.72x = 34,241,887,257.98
  5. Step 5: Solve for x
    x = 34,241,887,257.98/231,633.72
  6. Step 6: Final answer
    x = 147,827.73

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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.