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Finding the Fourth Proportional to 182,429.20, 273,514.20 and 82,637.20

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Solution

The fourth proportional to 182,429.20, 273,514.20 and 82,637.20 is: 123,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,429.20 : 273,514.20 = 82,637.20 : x
  2. Step 2: Convert to fraction form
    182,429.20/273,514.20 = 82,637.20/x
  3. Step 3: Cross multiply
    182,429.20x = 273,514.20 × 82,637.20
  4. Step 4: Simplify right side
    182,429.20x = 22,602,447,648.24
  5. Step 5: Solve for x
    x = 22,602,447,648.24/182,429.20
  6. Step 6: Final answer
    x = 123,897.09

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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.