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Finding the Fourth Proportional to 100,204.34, 138,457.89 and 78,863.67

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Solution

The fourth proportional to 100,204.34, 138,457.89 and 78,863.67 is: 108,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,204.34 : 138,457.89 = 78,863.67 : x
  2. Step 2: Convert to fraction form
    100,204.34/138,457.89 = 78,863.67/x
  3. Step 3: Cross multiply
    100,204.34x = 138,457.89 × 78,863.67
  4. Step 4: Simplify right side
    100,204.34x = 10,919,297,345.86
  5. Step 5: Solve for x
    x = 10,919,297,345.86/100,204.34
  6. Step 6: Final answer
    x = 108,970.31

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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.