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Finding the Fourth Proportional to 260,830.40, 391,360.80 and 120,516.80

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Solution

The fourth proportional to 260,830.40, 391,360.80 and 120,516.80 is: 180,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,830.40 : 391,360.80 = 120,516.80 : x
  2. Step 2: Convert to fraction form
    260,830.40/391,360.80 = 120,516.80/x
  3. Step 3: Cross multiply
    260,830.40x = 391,360.80 × 120,516.80
  4. Step 4: Simplify right side
    260,830.40x = 47,165,551,261.44
  5. Step 5: Solve for x
    x = 47,165,551,261.44/260,830.40
  6. Step 6: Final answer
    x = 180,828.43

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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.