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Finding the Fourth Proportional to 221,666.13, 305,901.20 and 126,178.96

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Solution

The fourth proportional to 221,666.13, 305,901.20 and 126,178.96 is: 174,128.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,666.13 : 305,901.20 = 126,178.96 : x
  2. Step 2: Convert to fraction form
    221,666.13/305,901.20 = 126,178.96/x
  3. Step 3: Cross multiply
    221,666.13x = 305,901.20 × 126,178.96
  4. Step 4: Simplify right side
    221,666.13x = 38,598,295,278.75
  5. Step 5: Solve for x
    x = 38,598,295,278.75/221,666.13
  6. Step 6: Final answer
    x = 174,128.07

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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.