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Finding the Fourth Proportional to 273,687.80, 410,531.70 and 161,713.40

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Solution

The fourth proportional to 273,687.80, 410,531.70 and 161,713.40 is: 242,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,687.80 : 410,531.70 = 161,713.40 : x
  2. Step 2: Convert to fraction form
    273,687.80/410,531.70 = 161,713.40/x
  3. Step 3: Cross multiply
    273,687.80x = 410,531.70 × 161,713.40
  4. Step 4: Simplify right side
    273,687.80x = 66,388,477,014.78
  5. Step 5: Solve for x
    x = 66,388,477,014.78/273,687.80
  6. Step 6: Final answer
    x = 242,570.10

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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.