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Finding the Fourth Proportional to 120,814.80, 181,222.20 and 78,824.40

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Solution

The fourth proportional to 120,814.80, 181,222.20 and 78,824.40 is: 118,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,814.80 : 181,222.20 = 78,824.40 : x
  2. Step 2: Convert to fraction form
    120,814.80/181,222.20 = 78,824.40/x
  3. Step 3: Cross multiply
    120,814.80x = 181,222.20 × 78,824.40
  4. Step 4: Simplify right side
    120,814.80x = 14,284,731,181.68
  5. Step 5: Solve for x
    x = 14,284,731,181.68/120,814.80
  6. Step 6: Final answer
    x = 118,236.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.