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Finding the Fourth Proportional to 123,457, 185,431.52 and 116,493.84

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Solution

The fourth proportional to 123,457, 185,431.52 and 116,493.84 is: 174,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,457 : 185,431.52 = 116,493.84 : x
  2. Step 2: Convert to fraction form
    123,457/185,431.52 = 116,493.84/x
  3. Step 3: Cross multiply
    123,457x = 185,431.52 × 116,493.84
  4. Step 4: Simplify right side
    123,457x = 21,601,629,821.84
  5. Step 5: Solve for x
    x = 21,601,629,821.84/123,457
  6. Step 6: Final answer
    x = 174,972.90

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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.