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Finding the Fourth Proportional to 129,219.81, 178,297.21 and 75,494.46

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Solution

The fourth proportional to 129,219.81, 178,297.21 and 75,494.46 is: 104,167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,219.81 : 178,297.21 = 75,494.46 : x
  2. Step 2: Convert to fraction form
    129,219.81/178,297.21 = 75,494.46/x
  3. Step 3: Cross multiply
    129,219.81x = 178,297.21 × 75,494.46
  4. Step 4: Simplify right side
    129,219.81x = 13,460,450,634.73
  5. Step 5: Solve for x
    x = 13,460,450,634.73/129,219.81
  6. Step 6: Final answer
    x = 104,167.08

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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.