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Finding the Fourth Proportional to 130,768.70, 180,414.40 and 85,472.84

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Solution

The fourth proportional to 130,768.70, 180,414.40 and 85,472.84 is: 117,922.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,768.70 : 180,414.40 = 85,472.84 : x
  2. Step 2: Convert to fraction form
    130,768.70/180,414.40 = 85,472.84/x
  3. Step 3: Cross multiply
    130,768.70x = 180,414.40 × 85,472.84
  4. Step 4: Simplify right side
    130,768.70x = 15,420,531,028.44
  5. Step 5: Solve for x
    x = 15,420,531,028.44/130,768.70
  6. Step 6: Final answer
    x = 117,922.18

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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.