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Finding the Fourth Proportional to 273,091.40, 409,896.30 and 168,115.40

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Solution

The fourth proportional to 273,091.40, 409,896.30 and 168,115.40 is: 252,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,091.40 : 409,896.30 = 168,115.40 : x
  2. Step 2: Convert to fraction form
    273,091.40/409,896.30 = 168,115.40/x
  3. Step 3: Cross multiply
    273,091.40x = 409,896.30 × 168,115.40
  4. Step 4: Simplify right side
    273,091.40x = 68,909,880,433.02
  5. Step 5: Solve for x
    x = 68,909,880,433.02/273,091.40
  6. Step 6: Final answer
    x = 252,332.66

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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.