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Finding the Fourth Proportional to 231,947.66, 347,942.74 and 72,024.50

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Solution

The fourth proportional to 231,947.66, 347,942.74 and 72,024.50 is: 108,043.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,947.66 : 347,942.74 = 72,024.50 : x
  2. Step 2: Convert to fraction form
    231,947.66/347,942.74 = 72,024.50/x
  3. Step 3: Cross multiply
    231,947.66x = 347,942.74 × 72,024.50
  4. Step 4: Simplify right side
    231,947.66x = 25,060,401,877.13
  5. Step 5: Solve for x
    x = 25,060,401,877.13/231,947.66
  6. Step 6: Final answer
    x = 108,043.35

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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.