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Finding the Fourth Proportional to 269,471.66, 403,682.42 and 164,029.10

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Solution

The fourth proportional to 269,471.66, 403,682.42 and 164,029.10 is: 245,724.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,471.66 : 403,682.42 = 164,029.10 : x
  2. Step 2: Convert to fraction form
    269,471.66/403,682.42 = 164,029.10/x
  3. Step 3: Cross multiply
    269,471.66x = 403,682.42 × 164,029.10
  4. Step 4: Simplify right side
    269,471.66x = 66,215,664,038.42
  5. Step 5: Solve for x
    x = 66,215,664,038.42/269,471.66
  6. Step 6: Final answer
    x = 245,724.04

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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.