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Finding the Fourth Proportional to 129,212.40, 178,316.97 and 78,234.45

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Solution

The fourth proportional to 129,212.40, 178,316.97 and 78,234.45 is: 107,965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,212.40 : 178,316.97 = 78,234.45 : x
  2. Step 2: Convert to fraction form
    129,212.40/178,316.97 = 78,234.45/x
  3. Step 3: Cross multiply
    129,212.40x = 178,316.97 × 78,234.45
  4. Step 4: Simplify right side
    129,212.40x = 13,950,530,073.62
  5. Step 5: Solve for x
    x = 13,950,530,073.62/129,212.40
  6. Step 6: Final answer
    x = 107,965.88

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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.