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Finding the Fourth Proportional to 269,462.28, 371,842.20 and 154,714.44

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Solution

The fourth proportional to 269,462.28, 371,842.20 and 154,714.44 is: 213,496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,462.28 : 371,842.20 = 154,714.44 : x
  2. Step 2: Convert to fraction form
    269,462.28/371,842.20 = 154,714.44/x
  3. Step 3: Cross multiply
    269,462.28x = 371,842.20 × 154,714.44
  4. Step 4: Simplify right side
    269,462.28x = 57,529,357,741.37
  5. Step 5: Solve for x
    x = 57,529,357,741.37/269,462.28
  6. Step 6: Final answer
    x = 213,496.89

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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.