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Finding the Fourth Proportional to 129,314.63, 178,454.21 and 72,726

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Solution

The fourth proportional to 129,314.63, 178,454.21 and 72,726 is: 100,361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,314.63 : 178,454.21 = 72,726 : x
  2. Step 2: Convert to fraction form
    129,314.63/178,454.21 = 72,726/x
  3. Step 3: Cross multiply
    129,314.63x = 178,454.21 × 72,726
  4. Step 4: Simplify right side
    129,314.63x = 12,978,260,876.46
  5. Step 5: Solve for x
    x = 12,978,260,876.46/129,314.63
  6. Step 6: Final answer
    x = 100,361.89

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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.