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Finding the Fourth Proportional to 204,705.96, 282,490.46 and 114,059.97

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Solution

The fourth proportional to 204,705.96, 282,490.46 and 114,059.97 is: 157,400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,705.96 : 282,490.46 = 114,059.97 : x
  2. Step 2: Convert to fraction form
    204,705.96/282,490.46 = 114,059.97/x
  3. Step 3: Cross multiply
    204,705.96x = 282,490.46 × 114,059.97
  4. Step 4: Simplify right side
    204,705.96x = 32,220,852,822.59
  5. Step 5: Solve for x
    x = 32,220,852,822.59/204,705.96
  6. Step 6: Final answer
    x = 157,400.66

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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.