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Finding the Fourth Proportional to 130,518.06, 180,072.09 and 73,149

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Solution

The fourth proportional to 130,518.06, 180,072.09 and 73,149 is: 100,921.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,518.06 : 180,072.09 = 73,149 : x
  2. Step 2: Convert to fraction form
    130,518.06/180,072.09 = 73,149/x
  3. Step 3: Cross multiply
    130,518.06x = 180,072.09 × 73,149
  4. Step 4: Simplify right side
    130,518.06x = 13,172,093,311.41
  5. Step 5: Solve for x
    x = 13,172,093,311.41/130,518.06
  6. Step 6: Final answer
    x = 100,921.61

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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.