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Finding the Fourth Proportional to 150,641.58, 207,885.30 and 82,659

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Solution

The fourth proportional to 150,641.58, 207,885.30 and 82,659 is: 114,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,641.58 : 207,885.30 = 82,659 : x
  2. Step 2: Convert to fraction form
    150,641.58/207,885.30 = 82,659/x
  3. Step 3: Cross multiply
    150,641.58x = 207,885.30 × 82,659
  4. Step 4: Simplify right side
    150,641.58x = 17,183,591,012.70
  5. Step 5: Solve for x
    x = 17,183,591,012.70/150,641.58
  6. Step 6: Final answer
    x = 114,069.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.