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Finding the Fourth Proportional to 194,957.06, 269,010.30 and 110,072.30

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Solution

The fourth proportional to 194,957.06, 269,010.30 and 110,072.30 is: 151,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,957.06 : 269,010.30 = 110,072.30 : x
  2. Step 2: Convert to fraction form
    194,957.06/269,010.30 = 110,072.30/x
  3. Step 3: Cross multiply
    194,957.06x = 269,010.30 × 110,072.30
  4. Step 4: Simplify right side
    194,957.06x = 29,610,582,444.69
  5. Step 5: Solve for x
    x = 29,610,582,444.69/194,957.06
  6. Step 6: Final answer
    x = 151,882.59

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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.