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Finding the Fourth Proportional to 269,714.70, 405,009.45 and 181,359.90

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Solution

The fourth proportional to 269,714.70, 405,009.45 and 181,359.90 is: 272,333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,714.70 : 405,009.45 = 181,359.90 : x
  2. Step 2: Convert to fraction form
    269,714.70/405,009.45 = 181,359.90/x
  3. Step 3: Cross multiply
    269,714.70x = 405,009.45 × 181,359.90
  4. Step 4: Simplify right side
    269,714.70x = 73,452,473,351.06
  5. Step 5: Solve for x
    x = 73,452,473,351.06/269,714.70
  6. Step 6: Final answer
    x = 272,333.96

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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.