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Finding the Fourth Proportional to 212,821.80, 319,232.70 and 194,850.60

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Solution

The fourth proportional to 212,821.80, 319,232.70 and 194,850.60 is: 292,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,821.80 : 319,232.70 = 194,850.60 : x
  2. Step 2: Convert to fraction form
    212,821.80/319,232.70 = 194,850.60/x
  3. Step 3: Cross multiply
    212,821.80x = 319,232.70 × 194,850.60
  4. Step 4: Simplify right side
    212,821.80x = 62,202,683,134.62
  5. Step 5: Solve for x
    x = 62,202,683,134.62/212,821.80
  6. Step 6: Final answer
    x = 292,275.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.