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Finding the Fourth Proportional to 273,265.16, 409,777.26 and 123,499.40

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Solution

The fourth proportional to 273,265.16, 409,777.26 and 123,499.40 is: 185,194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,265.16 : 409,777.26 = 123,499.40 : x
  2. Step 2: Convert to fraction form
    273,265.16/409,777.26 = 123,499.40/x
  3. Step 3: Cross multiply
    273,265.16x = 409,777.26 × 123,499.40
  4. Step 4: Simplify right side
    273,265.16x = 50,607,245,743.64
  5. Step 5: Solve for x
    x = 50,607,245,743.64/273,265.16
  6. Step 6: Final answer
    x = 185,194.65

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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.