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Finding the Fourth Proportional to 252,010.77, 347,764.50 and 137,287.13

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Solution

The fourth proportional to 252,010.77, 347,764.50 and 137,287.13 is: 189,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,010.77 : 347,764.50 = 137,287.13 : x
  2. Step 2: Convert to fraction form
    252,010.77/347,764.50 = 137,287.13/x
  3. Step 3: Cross multiply
    252,010.77x = 347,764.50 × 137,287.13
  4. Step 4: Simplify right side
    252,010.77x = 47,743,588,382.06
  5. Step 5: Solve for x
    x = 47,743,588,382.06/252,010.77
  6. Step 6: Final answer
    x = 189,450.59

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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.