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Finding the Fourth Proportional to 221,667.50, 305,903.10 and 126,180.34

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Solution

The fourth proportional to 221,667.50, 305,903.10 and 126,180.34 is: 174,129.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,667.50 : 305,903.10 = 126,180.34 : x
  2. Step 2: Convert to fraction form
    221,667.50/305,903.10 = 126,180.34/x
  3. Step 3: Cross multiply
    221,667.50x = 305,903.10 × 126,180.34
  4. Step 4: Simplify right side
    221,667.50x = 38,598,955,004.64
  5. Step 5: Solve for x
    x = 38,598,955,004.64/221,667.50
  6. Step 6: Final answer
    x = 174,129.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.