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Finding the Fourth Proportional to 221,200.92, 305,267.94 and 124,435.08

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Solution

The fourth proportional to 221,200.92, 305,267.94 and 124,435.08 is: 171,726.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,200.92 : 305,267.94 = 124,435.08 : x
  2. Step 2: Convert to fraction form
    221,200.92/305,267.94 = 124,435.08/x
  3. Step 3: Cross multiply
    221,200.92x = 305,267.94 × 124,435.08
  4. Step 4: Simplify right side
    221,200.92x = 37,986,040,535.34
  5. Step 5: Solve for x
    x = 37,986,040,535.34/221,200.92
  6. Step 6: Final answer
    x = 171,726.41

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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.