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Finding the Fourth Proportional to 263,757.45, 363,984.80 and 142,901.81

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Solution

The fourth proportional to 263,757.45, 363,984.80 and 142,901.81 is: 197,204.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,757.45 : 363,984.80 = 142,901.81 : x
  2. Step 2: Convert to fraction form
    263,757.45/363,984.80 = 142,901.81/x
  3. Step 3: Cross multiply
    263,757.45x = 363,984.80 × 142,901.81
  4. Step 4: Simplify right side
    263,757.45x = 52,014,084,198.06
  5. Step 5: Solve for x
    x = 52,014,084,198.06/263,757.45
  6. Step 6: Final answer
    x = 197,204.23

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1.5x scale

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.