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Finding the Fourth Proportional to 212,754.44, 319,178.97 and 92,830.83

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Solution

The fourth proportional to 212,754.44, 319,178.97 and 92,830.83 is: 139,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,754.44 : 319,178.97 = 92,830.83 : x
  2. Step 2: Convert to fraction form
    212,754.44/319,178.97 = 92,830.83/x
  3. Step 3: Cross multiply
    212,754.44x = 319,178.97 × 92,830.83
  4. Step 4: Simplify right side
    212,754.44x = 29,629,648,703.65
  5. Step 5: Solve for x
    x = 29,629,648,703.65/212,754.44
  6. Step 6: Final answer
    x = 139,266.89

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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.