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Finding the Fourth Proportional to 130,604.34, 180,202.51 and 82,840.26

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Solution

The fourth proportional to 130,604.34, 180,202.51 and 82,840.26 is: 114,299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,604.34 : 180,202.51 = 82,840.26 : x
  2. Step 2: Convert to fraction form
    130,604.34/180,202.51 = 82,840.26/x
  3. Step 3: Cross multiply
    130,604.34x = 180,202.51 × 82,840.26
  4. Step 4: Simplify right side
    130,604.34x = 14,928,022,781.05
  5. Step 5: Solve for x
    x = 14,928,022,781.05/130,604.34
  6. Step 6: Final answer
    x = 114,299.59

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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.