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Finding the Fourth Proportional to 329,081.80, 493,622.70 and 107,465.80

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Solution

The fourth proportional to 329,081.80, 493,622.70 and 107,465.80 is: 161,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,081.80 : 493,622.70 = 107,465.80 : x
  2. Step 2: Convert to fraction form
    329,081.80/493,622.70 = 107,465.80/x
  3. Step 3: Cross multiply
    329,081.80x = 493,622.70 × 107,465.80
  4. Step 4: Simplify right side
    329,081.80x = 53,047,558,353.66
  5. Step 5: Solve for x
    x = 53,047,558,353.66/329,081.80
  6. Step 6: Final answer
    x = 161,198.70

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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.