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Finding the Fourth Proportional to 132,056.32, 182,236.08 and 71,626

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Solution

The fourth proportional to 132,056.32, 182,236.08 and 71,626 is: 98,842.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,056.32 : 182,236.08 = 71,626 : x
  2. Step 2: Convert to fraction form
    132,056.32/182,236.08 = 71,626/x
  3. Step 3: Cross multiply
    132,056.32x = 182,236.08 × 71,626
  4. Step 4: Simplify right side
    132,056.32x = 13,052,841,466.08
  5. Step 5: Solve for x
    x = 13,052,841,466.08/132,056.32
  6. Step 6: Final answer
    x = 98,842.99

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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.