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Finding the Fourth Proportional to 329,705.87, 494,543.94 and 137,501.14

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Solution

The fourth proportional to 329,705.87, 494,543.94 and 137,501.14 is: 206,245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,705.87 : 494,543.94 = 137,501.14 : x
  2. Step 2: Convert to fraction form
    329,705.87/494,543.94 = 137,501.14/x
  3. Step 3: Cross multiply
    329,705.87x = 494,543.94 × 137,501.14
  4. Step 4: Simplify right side
    329,705.87x = 68,000,355,632.64
  5. Step 5: Solve for x
    x = 68,000,355,632.64/329,705.87
  6. Step 6: Final answer
    x = 206,245.51

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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.