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Finding the Fourth Proportional to 129,648.20, 194,457.90 and 106,233.80

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Solution

The fourth proportional to 129,648.20, 194,457.90 and 106,233.80 is: 159,338.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,648.20 : 194,457.90 = 106,233.80 : x
  2. Step 2: Convert to fraction form
    129,648.20/194,457.90 = 106,233.80/x
  3. Step 3: Cross multiply
    129,648.20x = 194,457.90 × 106,233.80
  4. Step 4: Simplify right side
    129,648.20x = 20,658,001,657.02
  5. Step 5: Solve for x
    x = 20,658,001,657.02/129,648.20
  6. Step 6: Final answer
    x = 159,338.90

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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.