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Finding the Fourth Proportional to 193,232.30, 289,970.05 and 82,422.70

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Solution

The fourth proportional to 193,232.30, 289,970.05 and 82,422.70 is: 123,685.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,232.30 : 289,970.05 = 82,422.70 : x
  2. Step 2: Convert to fraction form
    193,232.30/289,970.05 = 82,422.70/x
  3. Step 3: Cross multiply
    193,232.30x = 289,970.05 × 82,422.70
  4. Step 4: Simplify right side
    193,232.30x = 23,900,114,440.14
  5. Step 5: Solve for x
    x = 23,900,114,440.14/193,232.30
  6. Step 6: Final answer
    x = 123,685.92

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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.