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Finding the Fourth Proportional to 129,253.22, 193,878.46 and 50,422.80

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Solution

The fourth proportional to 129,253.22, 193,878.46 and 50,422.80 is: 75,633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,253.22 : 193,878.46 = 50,422.80 : x
  2. Step 2: Convert to fraction form
    129,253.22/193,878.46 = 50,422.80/x
  3. Step 3: Cross multiply
    129,253.22x = 193,878.46 × 50,422.80
  4. Step 4: Simplify right side
    129,253.22x = 9,775,895,602.96
  5. Step 5: Solve for x
    x = 9,775,895,602.96/129,253.22
  6. Step 6: Final answer
    x = 75,633.67

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