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Finding the Fourth Proportional to 188,057.94, 282,113.25 and 54,947.94

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Solution

The fourth proportional to 188,057.94, 282,113.25 and 54,947.94 is: 82,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,057.94 : 282,113.25 = 54,947.94 : x
  2. Step 2: Convert to fraction form
    188,057.94/282,113.25 = 54,947.94/x
  3. Step 3: Cross multiply
    188,057.94x = 282,113.25 × 54,947.94
  4. Step 4: Simplify right side
    188,057.94x = 15,501,541,934.21
  5. Step 5: Solve for x
    x = 15,501,541,934.21/188,057.94
  6. Step 6: Final answer
    x = 82,429.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.