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Finding the Fourth Proportional to 301,025.82, 415,056.51 and 193,600.38

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Solution

The fourth proportional to 301,025.82, 415,056.51 and 193,600.38 is: 266,937.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,025.82 : 415,056.51 = 193,600.38 : x
  2. Step 2: Convert to fraction form
    301,025.82/415,056.51 = 193,600.38/x
  3. Step 3: Cross multiply
    301,025.82x = 415,056.51 × 193,600.38
  4. Step 4: Simplify right side
    301,025.82x = 80,355,098,057.47
  5. Step 5: Solve for x
    x = 80,355,098,057.47/301,025.82
  6. Step 6: Final answer
    x = 266,937.56

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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.