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Finding the Fourth Proportional to 221,030.96, 305,022.56 and 120,428.96

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Solution

The fourth proportional to 221,030.96, 305,022.56 and 120,428.96 is: 166,191.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,030.96 : 305,022.56 = 120,428.96 : x
  2. Step 2: Convert to fraction form
    221,030.96/305,022.56 = 120,428.96/x
  3. Step 3: Cross multiply
    221,030.96x = 305,022.56 × 120,428.96
  4. Step 4: Simplify right side
    221,030.96x = 36,733,549,677.34
  5. Step 5: Solve for x
    x = 36,733,549,677.34/221,030.96
  6. Step 6: Final answer
    x = 166,191.88

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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.