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Finding the Fourth Proportional to 116,089.89, 174,142.94 and 45,969

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Solution

The fourth proportional to 116,089.89, 174,142.94 and 45,969 is: 68,956.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,089.89 : 174,142.94 = 45,969 : x
  2. Step 2: Convert to fraction form
    116,089.89/174,142.94 = 45,969/x
  3. Step 3: Cross multiply
    116,089.89x = 174,142.94 × 45,969
  4. Step 4: Simplify right side
    116,089.89x = 8,005,176,579.02
  5. Step 5: Solve for x
    x = 8,005,176,579.02/116,089.89
  6. Step 6: Final answer
    x = 68,956.71

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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.