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Finding the Fourth Proportional to 204,456, 282,149.19 and 113,810.07

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Solution

The fourth proportional to 204,456, 282,149.19 and 113,810.07 is: 157,057.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,456 : 282,149.19 = 113,810.07 : x
  2. Step 2: Convert to fraction form
    204,456/282,149.19 = 113,810.07/x
  3. Step 3: Cross multiply
    204,456x = 282,149.19 × 113,810.07
  4. Step 4: Simplify right side
    204,456x = 32,111,419,064.34
  5. Step 5: Solve for x
    x = 32,111,419,064.34/204,456
  6. Step 6: Final answer
    x = 157,057.85

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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.