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Finding the Fourth Proportional to 107,654.50, 161,434.63 and 54,313.66

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Solution

The fourth proportional to 107,654.50, 161,434.63 and 54,313.66 is: 81,446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,654.50 : 161,434.63 = 54,313.66 : x
  2. Step 2: Convert to fraction form
    107,654.50/161,434.63 = 54,313.66/x
  3. Step 3: Cross multiply
    107,654.50x = 161,434.63 × 54,313.66
  4. Step 4: Simplify right side
    107,654.50x = 8,768,105,606.05
  5. Step 5: Solve for x
    x = 8,768,105,606.05/107,654.50
  6. Step 6: Final answer
    x = 81,446.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.