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Finding the Fourth Proportional to 207,264.26, 310,896.40 and 67,022.90

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Solution

The fourth proportional to 207,264.26, 310,896.40 and 67,022.90 is: 100,534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,264.26 : 310,896.40 = 67,022.90 : x
  2. Step 2: Convert to fraction form
    207,264.26/310,896.40 = 67,022.90/x
  3. Step 3: Cross multiply
    207,264.26x = 310,896.40 × 67,022.90
  4. Step 4: Simplify right side
    207,264.26x = 20,837,178,327.56
  5. Step 5: Solve for x
    x = 20,837,178,327.56/207,264.26
  6. Step 6: Final answer
    x = 100,534.35

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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.