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Finding the Fourth Proportional to 179,639.76, 269,313.48 and 67,257

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Solution

The fourth proportional to 179,639.76, 269,313.48 and 67,257 is: 100,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,639.76 : 269,313.48 = 67,257 : x
  2. Step 2: Convert to fraction form
    179,639.76/269,313.48 = 67,257/x
  3. Step 3: Cross multiply
    179,639.76x = 269,313.48 × 67,257
  4. Step 4: Simplify right side
    179,639.76x = 18,113,216,724.36
  5. Step 5: Solve for x
    x = 18,113,216,724.36/179,639.76
  6. Step 6: Final answer
    x = 100,830.78

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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.