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Finding the Fourth Proportional to 263,812.78, 395,716.32 and 64,133.40

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Solution

The fourth proportional to 263,812.78, 395,716.32 and 64,133.40 is: 96,199.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,812.78 : 395,716.32 = 64,133.40 : x
  2. Step 2: Convert to fraction form
    263,812.78/395,716.32 = 64,133.40/x
  3. Step 3: Cross multiply
    263,812.78x = 395,716.32 × 64,133.40
  4. Step 4: Simplify right side
    263,812.78x = 25,378,634,521.02
  5. Step 5: Solve for x
    x = 25,378,634,521.02/263,812.78
  6. Step 6: Final answer
    x = 96,199.41

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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.