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Finding the Fourth Proportional to 263,909.88, 364,200.30 and 143,055.18

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Solution

The fourth proportional to 263,909.88, 364,200.30 and 143,055.18 is: 197,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,909.88 : 364,200.30 = 143,055.18 : x
  2. Step 2: Convert to fraction form
    263,909.88/364,200.30 = 143,055.18/x
  3. Step 3: Cross multiply
    263,909.88x = 364,200.30 × 143,055.18
  4. Step 4: Simplify right side
    263,909.88x = 52,100,739,472.55
  5. Step 5: Solve for x
    x = 52,100,739,472.55/263,909.88
  6. Step 6: Final answer
    x = 197,418.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.