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Finding the Fourth Proportional to 202,685.25, 304,027.89 and 54,941.25

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Solution

The fourth proportional to 202,685.25, 304,027.89 and 54,941.25 is: 82,411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,685.25 : 304,027.89 = 54,941.25 : x
  2. Step 2: Convert to fraction form
    202,685.25/304,027.89 = 54,941.25/x
  3. Step 3: Cross multiply
    202,685.25x = 304,027.89 × 54,941.25
  4. Step 4: Simplify right side
    202,685.25x = 16,703,672,311.46
  5. Step 5: Solve for x
    x = 16,703,672,311.46/202,685.25
  6. Step 6: Final answer
    x = 82,411.88

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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.