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Finding the Fourth Proportional to 257,514.80, 386,308.65 and 80,003.30

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Solution

The fourth proportional to 257,514.80, 386,308.65 and 80,003.30 is: 120,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,514.80 : 386,308.65 = 80,003.30 : x
  2. Step 2: Convert to fraction form
    257,514.80/386,308.65 = 80,003.30/x
  3. Step 3: Cross multiply
    257,514.80x = 386,308.65 × 80,003.30
  4. Step 4: Simplify right side
    257,514.80x = 30,905,966,818.55
  5. Step 5: Solve for x
    x = 30,905,966,818.55/257,514.80
  6. Step 6: Final answer
    x = 120,016.27

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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.