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Finding the Fourth Proportional to 194,605.39, 291,920.41 and 82,264.67

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Solution

The fourth proportional to 194,605.39, 291,920.41 and 82,264.67 is: 123,402.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,605.39 : 291,920.41 = 82,264.67 : x
  2. Step 2: Convert to fraction form
    194,605.39/291,920.41 = 82,264.67/x
  3. Step 3: Cross multiply
    194,605.39x = 291,920.41 × 82,264.67
  4. Step 4: Simplify right side
    194,605.39x = 24,014,734,735.31
  5. Step 5: Solve for x
    x = 24,014,734,735.31/194,605.39
  6. Step 6: Final answer
    x = 123,402.21

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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.