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Finding the Fourth Proportional to 177,441.36, 266,214 and 66,642

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Solution

The fourth proportional to 177,441.36, 266,214 and 66,642 is: 99,982.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,441.36 : 266,214 = 66,642 : x
  2. Step 2: Convert to fraction form
    177,441.36/266,214 = 66,642/x
  3. Step 3: Cross multiply
    177,441.36x = 266,214 × 66,642
  4. Step 4: Simplify right side
    177,441.36x = 17,741,033,388
  5. Step 5: Solve for x
    x = 17,741,033,388/177,441.36
  6. Step 6: Final answer
    x = 99,982.51

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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.