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Finding the Fourth Proportional to 146,804.30, 220,214.82 and 41,615

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Solution

The fourth proportional to 146,804.30, 220,214.82 and 41,615 is: 62,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,804.30 : 220,214.82 = 41,615 : x
  2. Step 2: Convert to fraction form
    146,804.30/220,214.82 = 41,615/x
  3. Step 3: Cross multiply
    146,804.30x = 220,214.82 × 41,615
  4. Step 4: Simplify right side
    146,804.30x = 9,164,239,734.30
  5. Step 5: Solve for x
    x = 9,164,239,734.30/146,804.30
  6. Step 6: Final answer
    x = 62,424.87

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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.