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Finding the Fourth Proportional to 204,672.06, 282,425.58 and 114,010.56

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Solution

The fourth proportional to 204,672.06, 282,425.58 and 114,010.56 is: 157,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,672.06 : 282,425.58 = 114,010.56 : x
  2. Step 2: Convert to fraction form
    204,672.06/282,425.58 = 114,010.56/x
  3. Step 3: Cross multiply
    204,672.06x = 282,425.58 × 114,010.56
  4. Step 4: Simplify right side
    204,672.06x = 32,199,498,534.12
  5. Step 5: Solve for x
    x = 32,199,498,534.12/204,672.06
  6. Step 6: Final answer
    x = 157,322.39

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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.