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Finding the Fourth Proportional to 263,232, 363,261.60 and 144,000

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Solution

The fourth proportional to 263,232, 363,261.60 and 144,000 is: 198,720.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,232 : 363,261.60 = 144,000 : x
  2. Step 2: Convert to fraction form
    263,232/363,261.60 = 144,000/x
  3. Step 3: Cross multiply
    263,232x = 363,261.60 × 144,000
  4. Step 4: Simplify right side
    263,232x = 52,309,670,400
  5. Step 5: Solve for x
    x = 52,309,670,400/263,232
  6. Step 6: Final answer
    x = 198,720.79

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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.