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Finding the Fourth Proportional to 193,065.54, 289,463.88 and 84,942.54

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Solution

The fourth proportional to 193,065.54, 289,463.88 and 84,942.54 is: 127,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,065.54 : 289,463.88 = 84,942.54 : x
  2. Step 2: Convert to fraction form
    193,065.54/289,463.88 = 84,942.54/x
  3. Step 3: Cross multiply
    193,065.54x = 289,463.88 × 84,942.54
  4. Step 4: Simplify right side
    193,065.54x = 24,587,797,205.46
  5. Step 5: Solve for x
    x = 24,587,797,205.46/193,065.54
  6. Step 6: Final answer
    x = 127,354.67

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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.