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Finding the Fourth Proportional to 343,899.80, 515,412.30 and 166,023.80

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Solution

The fourth proportional to 343,899.80, 515,412.30 and 166,023.80 is: 248,824.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,899.80 : 515,412.30 = 166,023.80 : x
  2. Step 2: Convert to fraction form
    343,899.80/515,412.30 = 166,023.80/x
  3. Step 3: Cross multiply
    343,899.80x = 515,412.30 × 166,023.80
  4. Step 4: Simplify right side
    343,899.80x = 85,570,708,612.74
  5. Step 5: Solve for x
    x = 85,570,708,612.74/343,899.80
  6. Step 6: Final answer
    x = 248,824.54

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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.