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Finding the Fourth Proportional to 129,092.34, 178,161.30 and 78,133.11

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Solution

The fourth proportional to 129,092.34, 178,161.30 and 78,133.11 is: 107,832.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,092.34 : 178,161.30 = 78,133.11 : x
  2. Step 2: Convert to fraction form
    129,092.34/178,161.30 = 78,133.11/x
  3. Step 3: Cross multiply
    129,092.34x = 178,161.30 × 78,133.11
  4. Step 4: Simplify right side
    129,092.34x = 13,920,296,450.64
  5. Step 5: Solve for x
    x = 13,920,296,450.64/129,092.34
  6. Step 6: Final answer
    x = 107,832.09

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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.