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Finding the Fourth Proportional to 207,985.28, 312,033.24 and 65,833.28

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Solution

The fourth proportional to 207,985.28, 312,033.24 and 65,833.28 is: 98,767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,985.28 : 312,033.24 = 65,833.28 : x
  2. Step 2: Convert to fraction form
    207,985.28/312,033.24 = 65,833.28/x
  3. Step 3: Cross multiply
    207,985.28x = 312,033.24 × 65,833.28
  4. Step 4: Simplify right side
    207,985.28x = 20,542,171,658.23
  5. Step 5: Solve for x
    x = 20,542,171,658.23/207,985.28
  6. Step 6: Final answer
    x = 98,767.43

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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.