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Finding the Fourth Proportional to 273,047.64, 409,571.46 and 106,719

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Solution

The fourth proportional to 273,047.64, 409,571.46 and 106,719 is: 160,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,047.64 : 409,571.46 = 106,719 : x
  2. Step 2: Convert to fraction form
    273,047.64/409,571.46 = 106,719/x
  3. Step 3: Cross multiply
    273,047.64x = 409,571.46 × 106,719
  4. Step 4: Simplify right side
    273,047.64x = 43,709,056,639.74
  5. Step 5: Solve for x
    x = 43,709,056,639.74/273,047.64
  6. Step 6: Final answer
    x = 160,078.50

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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.