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Finding the Fourth Proportional to 193,232.80, 289,970.80 and 82,423.20

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Solution

The fourth proportional to 193,232.80, 289,970.80 and 82,423.20 is: 123,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,232.80 : 289,970.80 = 82,423.20 : x
  2. Step 2: Convert to fraction form
    193,232.80/289,970.80 = 82,423.20/x
  3. Step 3: Cross multiply
    193,232.80x = 289,970.80 × 82,423.20
  4. Step 4: Simplify right side
    193,232.80x = 23,900,321,242.56
  5. Step 5: Solve for x
    x = 23,900,321,242.56/193,232.80
  6. Step 6: Final answer
    x = 123,686.67

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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.