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Finding the Fourth Proportional to 264,716.20, 397,035.90 and 77,708.20

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Solution

The fourth proportional to 264,716.20, 397,035.90 and 77,708.20 is: 116,551.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,716.20 : 397,035.90 = 77,708.20 : x
  2. Step 2: Convert to fraction form
    264,716.20/397,035.90 = 77,708.20/x
  3. Step 3: Cross multiply
    264,716.20x = 397,035.90 × 77,708.20
  4. Step 4: Simplify right side
    264,716.20x = 30,852,945,124.38
  5. Step 5: Solve for x
    x = 30,852,945,124.38/264,716.20
  6. Step 6: Final answer
    x = 116,551.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.