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Finding the Fourth Proportional to 212,685.75, 319,029.84 and 54,903.42

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Solution

The fourth proportional to 212,685.75, 319,029.84 and 54,903.42 is: 82,355.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,685.75 : 319,029.84 = 54,903.42 : x
  2. Step 2: Convert to fraction form
    212,685.75/319,029.84 = 54,903.42/x
  3. Step 3: Cross multiply
    212,685.75x = 319,029.84 × 54,903.42
  4. Step 4: Simplify right side
    212,685.75x = 17,515,829,298.05
  5. Step 5: Solve for x
    x = 17,515,829,298.05/212,685.75
  6. Step 6: Final answer
    x = 82,355.44

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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.