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Finding the Fourth Proportional to 142,559.37, 196,775.78 and 82,170.37

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Solution

The fourth proportional to 142,559.37, 196,775.78 and 82,170.37 is: 113,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,559.37 : 196,775.78 = 82,170.37 : x
  2. Step 2: Convert to fraction form
    142,559.37/196,775.78 = 82,170.37/x
  3. Step 3: Cross multiply
    142,559.37x = 196,775.78 × 82,170.37
  4. Step 4: Simplify right side
    142,559.37x = 16,169,139,500.40
  5. Step 5: Solve for x
    x = 16,169,139,500.40/142,559.37
  6. Step 6: Final answer
    x = 113,420.39

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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.