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Finding the Fourth Proportional to 110,474.06, 152,405.70 and 74,651

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Solution

The fourth proportional to 110,474.06, 152,405.70 and 74,651 is: 102,985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,474.06 : 152,405.70 = 74,651 : x
  2. Step 2: Convert to fraction form
    110,474.06/152,405.70 = 74,651/x
  3. Step 3: Cross multiply
    110,474.06x = 152,405.70 × 74,651
  4. Step 4: Simplify right side
    110,474.06x = 11,377,237,910.70
  5. Step 5: Solve for x
    x = 11,377,237,910.70/110,474.06
  6. Step 6: Final answer
    x = 102,985.61

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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.