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Finding the Fourth Proportional to 270,203.82, 405,244.09 and 101,741.91

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Solution

The fourth proportional to 270,203.82, 405,244.09 and 101,741.91 is: 152,589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,203.82 : 405,244.09 = 101,741.91 : x
  2. Step 2: Convert to fraction form
    270,203.82/405,244.09 = 101,741.91/x
  3. Step 3: Cross multiply
    270,203.82x = 405,244.09 × 101,741.91
  4. Step 4: Simplify right side
    270,203.82x = 41,230,307,732.81
  5. Step 5: Solve for x
    x = 41,230,307,732.81/270,203.82
  6. Step 6: Final answer
    x = 152,589.66

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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.