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Finding the Fourth Proportional to 221,694.59, 305,938.80 and 126,201.20

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Solution

The fourth proportional to 221,694.59, 305,938.80 and 126,201.20 is: 174,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,694.59 : 305,938.80 = 126,201.20 : x
  2. Step 2: Convert to fraction form
    221,694.59/305,938.80 = 126,201.20/x
  3. Step 3: Cross multiply
    221,694.59x = 305,938.80 × 126,201.20
  4. Step 4: Simplify right side
    221,694.59x = 38,609,842,156.87
  5. Step 5: Solve for x
    x = 38,609,842,156.87/221,694.59
  6. Step 6: Final answer
    x = 174,157.80

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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.