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Finding the Fourth Proportional to 177,334.08, 244,761.12 and 120,768

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Solution

The fourth proportional to 177,334.08, 244,761.12 and 120,768 is: 166,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,334.08 : 244,761.12 = 120,768 : x
  2. Step 2: Convert to fraction form
    177,334.08/244,761.12 = 120,768/x
  3. Step 3: Cross multiply
    177,334.08x = 244,761.12 × 120,768
  4. Step 4: Simplify right side
    177,334.08x = 29,559,310,940.16
  5. Step 5: Solve for x
    x = 29,559,310,940.16/177,334.08
  6. Step 6: Final answer
    x = 166,687.14

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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.