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Finding the Fourth Proportional to 195,710.40, 270,086.40 and 110,825.60

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Solution

The fourth proportional to 195,710.40, 270,086.40 and 110,825.60 is: 152,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,710.40 : 270,086.40 = 110,825.60 : x
  2. Step 2: Convert to fraction form
    195,710.40/270,086.40 = 110,825.60/x
  3. Step 3: Cross multiply
    195,710.40x = 270,086.40 × 110,825.60
  4. Step 4: Simplify right side
    195,710.40x = 29,932,487,331.84
  5. Step 5: Solve for x
    x = 29,932,487,331.84/195,710.40
  6. Step 6: Final answer
    x = 152,942.75

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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.