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Finding the Fourth Proportional to 129,367.46, 178,451.42 and 84,075.60

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Solution

The fourth proportional to 129,367.46, 178,451.42 and 84,075.60 is: 115,975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,367.46 : 178,451.42 = 84,075.60 : x
  2. Step 2: Convert to fraction form
    129,367.46/178,451.42 = 84,075.60/x
  3. Step 3: Cross multiply
    129,367.46x = 178,451.42 × 84,075.60
  4. Step 4: Simplify right side
    129,367.46x = 15,003,409,786.97
  5. Step 5: Solve for x
    x = 15,003,409,786.97/129,367.46
  6. Step 6: Final answer
    x = 115,975.15

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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.