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Finding the Fourth Proportional to 232,388.96, 320,670.42 and 130,401.08

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Solution

The fourth proportional to 232,388.96, 320,670.42 and 130,401.08 is: 179,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,388.96 : 320,670.42 = 130,401.08 : x
  2. Step 2: Convert to fraction form
    232,388.96/320,670.42 = 130,401.08/x
  3. Step 3: Cross multiply
    232,388.96x = 320,670.42 × 130,401.08
  4. Step 4: Simplify right side
    232,388.96x = 41,815,769,092.05
  5. Step 5: Solve for x
    x = 41,815,769,092.05/232,388.96
  6. Step 6: Final answer
    x = 179,938.71

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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.