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Finding the Fourth Proportional to 305,140.89, 421,119.38 and 169,217.47

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Solution

The fourth proportional to 305,140.89, 421,119.38 and 169,217.47 is: 233,533.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,140.89 : 421,119.38 = 169,217.47 : x
  2. Step 2: Convert to fraction form
    305,140.89/421,119.38 = 169,217.47/x
  3. Step 3: Cross multiply
    305,140.89x = 421,119.38 × 169,217.47
  4. Step 4: Simplify right side
    305,140.89x = 71,260,753,099.88
  5. Step 5: Solve for x
    x = 71,260,753,099.88/305,140.89
  6. Step 6: Final answer
    x = 233,533.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.