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Finding the Fourth Proportional to 269,006.31, 403,507.85 and 82,017.81

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Solution

The fourth proportional to 269,006.31, 403,507.85 and 82,017.81 is: 123,026.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,006.31 : 403,507.85 = 82,017.81 : x
  2. Step 2: Convert to fraction form
    269,006.31/403,507.85 = 82,017.81/x
  3. Step 3: Cross multiply
    269,006.31x = 403,507.85 × 82,017.81
  4. Step 4: Simplify right side
    269,006.31x = 33,094,829,764.72
  5. Step 5: Solve for x
    x = 33,094,829,764.72/269,006.31
  6. Step 6: Final answer
    x = 123,026.22

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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.