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Finding the Fourth Proportional to 231,948.36, 347,977.01 and 72,016.08

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Solution

The fourth proportional to 231,948.36, 347,977.01 and 72,016.08 is: 108,041.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,948.36 : 347,977.01 = 72,016.08 : x
  2. Step 2: Convert to fraction form
    231,948.36/347,977.01 = 72,016.08/x
  3. Step 3: Cross multiply
    231,948.36x = 347,977.01 × 72,016.08
  4. Step 4: Simplify right side
    231,948.36x = 25,059,940,190.32
  5. Step 5: Solve for x
    x = 25,059,940,190.32/231,948.36
  6. Step 6: Final answer
    x = 108,041.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.