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Finding the Fourth Proportional to 329,195.44, 493,826.02 and 89,313.11

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Solution

The fourth proportional to 329,195.44, 493,826.02 and 89,313.11 is: 133,978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,195.44 : 493,826.02 = 89,313.11 : x
  2. Step 2: Convert to fraction form
    329,195.44/493,826.02 = 89,313.11/x
  3. Step 3: Cross multiply
    329,195.44x = 493,826.02 × 89,313.11
  4. Step 4: Simplify right side
    329,195.44x = 44,105,135,415.67
  5. Step 5: Solve for x
    x = 44,105,135,415.67/329,195.44
  6. Step 6: Final answer
    x = 133,978.57

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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.