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Finding the Fourth Proportional to 259,259.70, 388,889.55 and 206,771.70

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Solution

The fourth proportional to 259,259.70, 388,889.55 and 206,771.70 is: 310,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,259.70 : 388,889.55 = 206,771.70 : x
  2. Step 2: Convert to fraction form
    259,259.70/388,889.55 = 206,771.70/x
  3. Step 3: Cross multiply
    259,259.70x = 388,889.55 × 206,771.70
  4. Step 4: Simplify right side
    259,259.70x = 80,411,353,365.74
  5. Step 5: Solve for x
    x = 80,411,353,365.74/259,259.70
  6. Step 6: Final answer
    x = 310,157.55

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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.