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Finding the Fourth Proportional to 129,213.36, 178,305.30 and 72,633.24

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Solution

The fourth proportional to 129,213.36, 178,305.30 and 72,633.24 is: 100,228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,213.36 : 178,305.30 = 72,633.24 : x
  2. Step 2: Convert to fraction form
    129,213.36/178,305.30 = 72,633.24/x
  3. Step 3: Cross multiply
    129,213.36x = 178,305.30 × 72,633.24
  4. Step 4: Simplify right side
    129,213.36x = 12,950,891,648.17
  5. Step 5: Solve for x
    x = 12,950,891,648.17/129,213.36
  6. Step 6: Final answer
    x = 100,228.74

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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.