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Finding the Fourth Proportional to 132,076.45, 182,265.65 and 71,647.21

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Solution

The fourth proportional to 132,076.45, 182,265.65 and 71,647.21 is: 98,873.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,076.45 : 182,265.65 = 71,647.21 : x
  2. Step 2: Convert to fraction form
    132,076.45/182,265.65 = 71,647.21/x
  3. Step 3: Cross multiply
    132,076.45x = 182,265.65 × 71,647.21
  4. Step 4: Simplify right side
    132,076.45x = 13,058,825,301.34
  5. Step 5: Solve for x
    x = 13,058,825,301.34/132,076.45
  6. Step 6: Final answer
    x = 98,873.23

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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.