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Finding the Fourth Proportional to 200,730.91, 301,096.90 and 67,704.51

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Solution

The fourth proportional to 200,730.91, 301,096.90 and 67,704.51 is: 101,556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,730.91 : 301,096.90 = 67,704.51 : x
  2. Step 2: Convert to fraction form
    200,730.91/301,096.90 = 67,704.51/x
  3. Step 3: Cross multiply
    200,730.91x = 301,096.90 × 67,704.51
  4. Step 4: Simplify right side
    200,730.91x = 20,385,617,216.26
  5. Step 5: Solve for x
    x = 20,385,617,216.26/200,730.91
  6. Step 6: Final answer
    x = 101,556.94

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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.