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Finding the Fourth Proportional to 129,296.34, 178,408.17 and 72,704.34

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Solution

The fourth proportional to 129,296.34, 178,408.17 and 72,704.34 is: 100,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,296.34 : 178,408.17 = 72,704.34 : x
  2. Step 2: Convert to fraction form
    129,296.34/178,408.17 = 72,704.34/x
  3. Step 3: Cross multiply
    129,296.34x = 178,408.17 × 72,704.34
  4. Step 4: Simplify right side
    129,296.34x = 12,971,048,250.46
  5. Step 5: Solve for x
    x = 12,971,048,250.46/129,296.34
  6. Step 6: Final answer
    x = 100,320.30

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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.