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Finding the Fourth Proportional to 332,193.80, 498,363.60 and 107,564.60

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Solution

The fourth proportional to 332,193.80, 498,363.60 and 107,564.60 is: 161,370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,193.80 : 498,363.60 = 107,564.60 : x
  2. Step 2: Convert to fraction form
    332,193.80/498,363.60 = 107,564.60/x
  3. Step 3: Cross multiply
    332,193.80x = 498,363.60 × 107,564.60
  4. Step 4: Simplify right side
    332,193.80x = 53,606,281,288.56
  5. Step 5: Solve for x
    x = 53,606,281,288.56/332,193.80
  6. Step 6: Final answer
    x = 161,370.51

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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.