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Finding the Fourth Proportional to 119,240.72, 164,505.06 and 76,824

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Solution

The fourth proportional to 119,240.72, 164,505.06 and 76,824 is: 105,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,240.72 : 164,505.06 = 76,824 : x
  2. Step 2: Convert to fraction form
    119,240.72/164,505.06 = 76,824/x
  3. Step 3: Cross multiply
    119,240.72x = 164,505.06 × 76,824
  4. Step 4: Simplify right side
    119,240.72x = 12,637,936,729.44
  5. Step 5: Solve for x
    x = 12,637,936,729.44/119,240.72
  6. Step 6: Final answer
    x = 105,986.75

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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.