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Finding the Fourth Proportional to 129,119.70, 178,185.03 and 71,757.21

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Solution

The fourth proportional to 129,119.70, 178,185.03 and 71,757.21 is: 99,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,119.70 : 178,185.03 = 71,757.21 : x
  2. Step 2: Convert to fraction form
    129,119.70/178,185.03 = 71,757.21/x
  3. Step 3: Cross multiply
    129,119.70x = 178,185.03 × 71,757.21
  4. Step 4: Simplify right side
    129,119.70x = 12,786,060,417.01
  5. Step 5: Solve for x
    x = 12,786,060,417.01/129,119.70
  6. Step 6: Final answer
    x = 99,024.86

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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.