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Finding the Fourth Proportional to 174,611, 240,951.84 and 102,974.60

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Solution

The fourth proportional to 174,611, 240,951.84 and 102,974.60 is: 142,098.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,611 : 240,951.84 = 102,974.60 : x
  2. Step 2: Convert to fraction form
    174,611/240,951.84 = 102,974.60/x
  3. Step 3: Cross multiply
    174,611x = 240,951.84 × 102,974.60
  4. Step 4: Simplify right side
    174,611x = 24,811,919,343.26
  5. Step 5: Solve for x
    x = 24,811,919,343.26/174,611
  6. Step 6: Final answer
    x = 142,098.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.