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Finding the Fourth Proportional to 146,754.89, 202,929.41 and 116,487.66

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Solution

The fourth proportional to 146,754.89, 202,929.41 and 116,487.66 is: 161,076.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,754.89 : 202,929.41 = 116,487.66 : x
  2. Step 2: Convert to fraction form
    146,754.89/202,929.41 = 116,487.66/x
  3. Step 3: Cross multiply
    146,754.89x = 202,929.41 × 116,487.66
  4. Step 4: Simplify right side
    146,754.89x = 23,638,770,519.00
  5. Step 5: Solve for x
    x = 23,638,770,519.00/146,754.89
  6. Step 6: Final answer
    x = 161,076.55

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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.