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Finding the Fourth Proportional to 237,204.96, 327,289.32 and 141,693

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Solution

The fourth proportional to 237,204.96, 327,289.32 and 141,693 is: 195,504.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,204.96 : 327,289.32 = 141,693 : x
  2. Step 2: Convert to fraction form
    237,204.96/327,289.32 = 141,693/x
  3. Step 3: Cross multiply
    237,204.96x = 327,289.32 × 141,693
  4. Step 4: Simplify right side
    237,204.96x = 46,374,605,618.76
  5. Step 5: Solve for x
    x = 46,374,605,618.76/237,204.96
  6. Step 6: Final answer
    x = 195,504.37

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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.