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Finding the Fourth Proportional to 129,709.70, 178,972.04 and 78,749.24

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Solution

The fourth proportional to 129,709.70, 178,972.04 and 78,749.24 is: 108,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,709.70 : 178,972.04 = 78,749.24 : x
  2. Step 2: Convert to fraction form
    129,709.70/178,972.04 = 78,749.24/x
  3. Step 3: Cross multiply
    129,709.70x = 178,972.04 × 78,749.24
  4. Step 4: Simplify right side
    129,709.70x = 14,093,912,131.25
  5. Step 5: Solve for x
    x = 14,093,912,131.25/129,709.70
  6. Step 6: Final answer
    x = 108,657.35

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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.