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Finding the Fourth Proportional to 107,202.87, 147,944.90 and 59,453.37

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Solution

The fourth proportional to 107,202.87, 147,944.90 and 59,453.37 is: 82,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,202.87 : 147,944.90 = 59,453.37 : x
  2. Step 2: Convert to fraction form
    107,202.87/147,944.90 = 59,453.37/x
  3. Step 3: Cross multiply
    107,202.87x = 147,944.90 × 59,453.37
  4. Step 4: Simplify right side
    107,202.87x = 8,795,822,879.31
  5. Step 5: Solve for x
    x = 8,795,822,879.31/107,202.87
  6. Step 6: Final answer
    x = 82,048.39

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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.