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Finding the Fourth Proportional to 146,576.80, 219,843.60 and 41,406.40

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Solution

The fourth proportional to 146,576.80, 219,843.60 and 41,406.40 is: 62,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,576.80 : 219,843.60 = 41,406.40 : x
  2. Step 2: Convert to fraction form
    146,576.80/219,843.60 = 41,406.40/x
  3. Step 3: Cross multiply
    146,576.80x = 219,843.60 × 41,406.40
  4. Step 4: Simplify right side
    146,576.80x = 9,102,932,039.04
  5. Step 5: Solve for x
    x = 9,102,932,039.04/146,576.80
  6. Step 6: Final answer
    x = 62,103.50

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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.