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Finding the Fourth Proportional to 273,430.80, 410,147.16 and 133,069.20

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Solution

The fourth proportional to 273,430.80, 410,147.16 and 133,069.20 is: 199,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,430.80 : 410,147.16 = 133,069.20 : x
  2. Step 2: Convert to fraction form
    273,430.80/410,147.16 = 133,069.20/x
  3. Step 3: Cross multiply
    273,430.80x = 410,147.16 × 133,069.20
  4. Step 4: Simplify right side
    273,430.80x = 54,577,954,463.47
  5. Step 5: Solve for x
    x = 54,577,954,463.47/273,430.80
  6. Step 6: Final answer
    x = 199,604.27

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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.