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Finding the Fourth Proportional to 201,095.43, 301,644.06 and 67,976.40

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Solution

The fourth proportional to 201,095.43, 301,644.06 and 67,976.40 is: 101,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,095.43 : 301,644.06 = 67,976.40 : x
  2. Step 2: Convert to fraction form
    201,095.43/301,644.06 = 67,976.40/x
  3. Step 3: Cross multiply
    201,095.43x = 301,644.06 × 67,976.40
  4. Step 4: Simplify right side
    201,095.43x = 20,504,677,280.18
  5. Step 5: Solve for x
    x = 20,504,677,280.18/201,095.43
  6. Step 6: Final answer
    x = 101,964.91

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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.