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Finding the Fourth Proportional to 167,538.64, 251,304.50 and 55,225.60

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Solution

The fourth proportional to 167,538.64, 251,304.50 and 55,225.60 is: 82,837.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,538.64 : 251,304.50 = 55,225.60 : x
  2. Step 2: Convert to fraction form
    167,538.64/251,304.50 = 55,225.60/x
  3. Step 3: Cross multiply
    167,538.64x = 251,304.50 × 55,225.60
  4. Step 4: Simplify right side
    167,538.64x = 13,878,441,795.20
  5. Step 5: Solve for x
    x = 13,878,441,795.20/167,538.64
  6. Step 6: Final answer
    x = 82,837.26

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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.