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Finding the Fourth Proportional to 129,202.41, 178,314.09 and 71,847.45

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Solution

The fourth proportional to 129,202.41, 178,314.09 and 71,847.45 is: 99,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,202.41 : 178,314.09 = 71,847.45 : x
  2. Step 2: Convert to fraction form
    129,202.41/178,314.09 = 71,847.45/x
  3. Step 3: Cross multiply
    129,202.41x = 178,314.09 × 71,847.45
  4. Step 4: Simplify right side
    129,202.41x = 12,811,412,665.57
  5. Step 5: Solve for x
    x = 12,811,412,665.57/129,202.41
  6. Step 6: Final answer
    x = 99,157.69

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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.