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Finding the Fourth Proportional to 274,813.92, 412,415.61 and 125,073.48

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Solution

The fourth proportional to 274,813.92, 412,415.61 and 125,073.48 is: 187,698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,813.92 : 412,415.61 = 125,073.48 : x
  2. Step 2: Convert to fraction form
    274,813.92/412,415.61 = 125,073.48/x
  3. Step 3: Cross multiply
    274,813.92x = 412,415.61 × 125,073.48
  4. Step 4: Simplify right side
    274,813.92x = 51,582,255,549.02
  5. Step 5: Solve for x
    x = 51,582,255,549.02/274,813.92
  6. Step 6: Final answer
    x = 187,698.85

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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.