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Finding the Fourth Proportional to 130,806.10, 180,515.87 and 73,450

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Solution

The fourth proportional to 130,806.10, 180,515.87 and 73,450 is: 101,362.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,806.10 : 180,515.87 = 73,450 : x
  2. Step 2: Convert to fraction form
    130,806.10/180,515.87 = 73,450/x
  3. Step 3: Cross multiply
    130,806.10x = 180,515.87 × 73,450
  4. Step 4: Simplify right side
    130,806.10x = 13,258,890,651.50
  5. Step 5: Solve for x
    x = 13,258,890,651.50/130,806.10
  6. Step 6: Final answer
    x = 101,362.94

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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.