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Finding the Fourth Proportional to 401,381.09, 601,650.17 and 135,049.14

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Solution

The fourth proportional to 401,381.09, 601,650.17 and 135,049.14 is: 202,431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,381.09 : 601,650.17 = 135,049.14 : x
  2. Step 2: Convert to fraction form
    401,381.09/601,650.17 = 135,049.14/x
  3. Step 3: Cross multiply
    401,381.09x = 601,650.17 × 135,049.14
  4. Step 4: Simplify right side
    401,381.09x = 81,252,337,364.11
  5. Step 5: Solve for x
    x = 81,252,337,364.11/401,381.09
  6. Step 6: Final answer
    x = 202,431.90

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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.