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Finding the Fourth Proportional to 232,180.72, 320,273.29 and 146,003

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Solution

The fourth proportional to 232,180.72, 320,273.29 and 146,003 is: 201,398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,180.72 : 320,273.29 = 146,003 : x
  2. Step 2: Convert to fraction form
    232,180.72/320,273.29 = 146,003/x
  3. Step 3: Cross multiply
    232,180.72x = 320,273.29 × 146,003
  4. Step 4: Simplify right side
    232,180.72x = 46,760,861,159.87
  5. Step 5: Solve for x
    x = 46,760,861,159.87/232,180.72
  6. Step 6: Final answer
    x = 201,398.55

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