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Finding the Fourth Proportional to 208,449.77, 311,149.16 and 179,056.49

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Solution

The fourth proportional to 208,449.77, 311,149.16 and 179,056.49 is: 267,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,449.77 : 311,149.16 = 179,056.49 : x
  2. Step 2: Convert to fraction form
    208,449.77/311,149.16 = 179,056.49/x
  3. Step 3: Cross multiply
    208,449.77x = 311,149.16 × 179,056.49
  4. Step 4: Simplify right side
    208,449.77x = 55,713,274,452.66
  5. Step 5: Solve for x
    x = 55,713,274,452.66/208,449.77
  6. Step 6: Final answer
    x = 267,274.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.