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Finding the Fourth Proportional to 264,674.50, 365,250.81 and 145,442.50

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Solution

The fourth proportional to 264,674.50, 365,250.81 and 145,442.50 is: 200,710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,674.50 : 365,250.81 = 145,442.50 : x
  2. Step 2: Convert to fraction form
    264,674.50/365,250.81 = 145,442.50/x
  3. Step 3: Cross multiply
    264,674.50x = 365,250.81 × 145,442.50
  4. Step 4: Simplify right side
    264,674.50x = 53,122,990,933.43
  5. Step 5: Solve for x
    x = 53,122,990,933.43/264,674.50
  6. Step 6: Final answer
    x = 200,710.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.