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Finding the Fourth Proportional to 212,893.50, 319,340.25 and 119,406.54

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Solution

The fourth proportional to 212,893.50, 319,340.25 and 119,406.54 is: 179,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,893.50 : 319,340.25 = 119,406.54 : x
  2. Step 2: Convert to fraction form
    212,893.50/319,340.25 = 119,406.54/x
  3. Step 3: Cross multiply
    212,893.50x = 319,340.25 × 119,406.54
  4. Step 4: Simplify right side
    212,893.50x = 38,131,314,335.24
  5. Step 5: Solve for x
    x = 38,131,314,335.24/212,893.50
  6. Step 6: Final answer
    x = 179,109.81

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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.