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Finding the Fourth Proportional to 123,446.24, 185,178.06 and 61,100

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Solution

The fourth proportional to 123,446.24, 185,178.06 and 61,100 is: 91,654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,446.24 : 185,178.06 = 61,100 : x
  2. Step 2: Convert to fraction form
    123,446.24/185,178.06 = 61,100/x
  3. Step 3: Cross multiply
    123,446.24x = 185,178.06 × 61,100
  4. Step 4: Simplify right side
    123,446.24x = 11,314,379,466
  5. Step 5: Solve for x
    x = 11,314,379,466/123,446.24
  6. Step 6: Final answer
    x = 91,654.31

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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.