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Finding the Fourth Proportional to 231,804.02, 347,735.19 and 82,009.10

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Solution

The fourth proportional to 231,804.02, 347,735.19 and 82,009.10 is: 123,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,804.02 : 347,735.19 = 82,009.10 : x
  2. Step 2: Convert to fraction form
    231,804.02/347,735.19 = 82,009.10/x
  3. Step 3: Cross multiply
    231,804.02x = 347,735.19 × 82,009.10
  4. Step 4: Simplify right side
    231,804.02x = 28,517,449,970.23
  5. Step 5: Solve for x
    x = 28,517,449,970.23/231,804.02
  6. Step 6: Final answer
    x = 123,023.97

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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.