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Finding the Fourth Proportional to 132,822.72, 183,344.40 and 81,843.84

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Solution

The fourth proportional to 132,822.72, 183,344.40 and 81,843.84 is: 112,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,822.72 : 183,344.40 = 81,843.84 : x
  2. Step 2: Convert to fraction form
    132,822.72/183,344.40 = 81,843.84/x
  3. Step 3: Cross multiply
    132,822.72x = 183,344.40 × 81,843.84
  4. Step 4: Simplify right side
    132,822.72x = 15,005,609,738.50
  5. Step 5: Solve for x
    x = 15,005,609,738.50/132,822.72
  6. Step 6: Final answer
    x = 112,974.72

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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.