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Finding the Fourth Proportional to 135,995.40, 203,912.10 and 83,442.60

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Solution

The fourth proportional to 135,995.40, 203,912.10 and 83,442.60 is: 125,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,995.40 : 203,912.10 = 83,442.60 : x
  2. Step 2: Convert to fraction form
    135,995.40/203,912.10 = 83,442.60/x
  3. Step 3: Cross multiply
    135,995.40x = 203,912.10 × 83,442.60
  4. Step 4: Simplify right side
    135,995.40x = 17,014,955,795.46
  5. Step 5: Solve for x
    x = 17,014,955,795.46/135,995.40
  6. Step 6: Final answer
    x = 125,114.20

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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.