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Finding the Fourth Proportional to 263,182.40, 394,514.40 and 130,083.20

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Solution

The fourth proportional to 263,182.40, 394,514.40 and 130,083.20 is: 194,996.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,182.40 : 394,514.40 = 130,083.20 : x
  2. Step 2: Convert to fraction form
    263,182.40/394,514.40 = 130,083.20/x
  3. Step 3: Cross multiply
    263,182.40x = 394,514.40 × 130,083.20
  4. Step 4: Simplify right side
    263,182.40x = 51,319,695,598.08
  5. Step 5: Solve for x
    x = 51,319,695,598.08/263,182.40
  6. Step 6: Final answer
    x = 194,996.69

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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.