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Finding the Fourth Proportional to 273,165.41, 409,809 and 83,652.41

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Solution

The fourth proportional to 273,165.41, 409,809 and 83,652.41 is: 125,497.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,165.41 : 409,809 = 83,652.41 : x
  2. Step 2: Convert to fraction form
    273,165.41/409,809 = 83,652.41/x
  3. Step 3: Cross multiply
    273,165.41x = 409,809 × 83,652.41
  4. Step 4: Simplify right side
    273,165.41x = 34,281,508,440.65
  5. Step 5: Solve for x
    x = 34,281,508,440.65/273,165.41
  6. Step 6: Final answer
    x = 125,497.25

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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.