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Finding the Fourth Proportional to 263,804.40, 395,602.38 and 83,825.10

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Solution

The fourth proportional to 263,804.40, 395,602.38 and 83,825.10 is: 125,704.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,804.40 : 395,602.38 = 83,825.10 : x
  2. Step 2: Convert to fraction form
    263,804.40/395,602.38 = 83,825.10/x
  3. Step 3: Cross multiply
    263,804.40x = 395,602.38 × 83,825.10
  4. Step 4: Simplify right side
    263,804.40x = 33,161,409,063.74
  5. Step 5: Solve for x
    x = 33,161,409,063.74/263,804.40
  6. Step 6: Final answer
    x = 125,704.53

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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.