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Finding the Fourth Proportional to 177,549.84, 266,003.88 and 110,958

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Solution

The fourth proportional to 177,549.84, 266,003.88 and 110,958 is: 166,236.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,549.84 : 266,003.88 = 110,958 : x
  2. Step 2: Convert to fraction form
    177,549.84/266,003.88 = 110,958/x
  3. Step 3: Cross multiply
    177,549.84x = 266,003.88 × 110,958
  4. Step 4: Simplify right side
    177,549.84x = 29,515,258,517.04
  5. Step 5: Solve for x
    x = 29,515,258,517.04/177,549.84
  6. Step 6: Final answer
    x = 166,236.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.