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Finding the Fourth Proportional to 231,555.96, 347,323.51 and 96,564.44

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Solution

The fourth proportional to 231,555.96, 347,323.51 and 96,564.44 is: 144,842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,555.96 : 347,323.51 = 96,564.44 : x
  2. Step 2: Convert to fraction form
    231,555.96/347,323.51 = 96,564.44/x
  3. Step 3: Cross multiply
    231,555.96x = 347,323.51 × 96,564.44
  4. Step 4: Simplify right side
    231,555.96x = 33,539,100,868.88
  5. Step 5: Solve for x
    x = 33,539,100,868.88/231,555.96
  6. Step 6: Final answer
    x = 144,842.31

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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.