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Finding the Fourth Proportional to 260,222.50, 359,107.05 and 140,990.50

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Solution

The fourth proportional to 260,222.50, 359,107.05 and 140,990.50 is: 194,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,222.50 : 359,107.05 = 140,990.50 : x
  2. Step 2: Convert to fraction form
    260,222.50/359,107.05 = 140,990.50/x
  3. Step 3: Cross multiply
    260,222.50x = 359,107.05 × 140,990.50
  4. Step 4: Simplify right side
    260,222.50x = 50,630,682,533.03
  5. Step 5: Solve for x
    x = 50,630,682,533.03/260,222.50
  6. Step 6: Final answer
    x = 194,566.89

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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.