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Finding the Fourth Proportional to 231,778.67, 347,814.26 and 98,658.72

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Solution

The fourth proportional to 231,778.67, 347,814.26 and 98,658.72 is: 148,050.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,778.67 : 347,814.26 = 98,658.72 : x
  2. Step 2: Convert to fraction form
    231,778.67/347,814.26 = 98,658.72/x
  3. Step 3: Cross multiply
    231,778.67x = 347,814.26 × 98,658.72
  4. Step 4: Simplify right side
    231,778.67x = 34,314,909,935.99
  5. Step 5: Solve for x
    x = 34,314,909,935.99/231,778.67
  6. Step 6: Final answer
    x = 148,050.33

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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.