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Finding the Fourth Proportional to 221,658.37, 305,890.50 and 126,171.21

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Solution

The fourth proportional to 221,658.37, 305,890.50 and 126,171.21 is: 174,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,658.37 : 305,890.50 = 126,171.21 : x
  2. Step 2: Convert to fraction form
    221,658.37/305,890.50 = 126,171.21/x
  3. Step 3: Cross multiply
    221,658.37x = 305,890.50 × 126,171.21
  4. Step 4: Simplify right side
    221,658.37x = 38,594,574,512.51
  5. Step 5: Solve for x
    x = 38,594,574,512.51/221,658.37
  6. Step 6: Final answer
    x = 174,117.38

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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.