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Finding the Fourth Proportional to 132,083.64, 182,227.59 and 86,786.02

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Solution

The fourth proportional to 132,083.64, 182,227.59 and 86,786.02 is: 119,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,083.64 : 182,227.59 = 86,786.02 : x
  2. Step 2: Convert to fraction form
    132,083.64/182,227.59 = 86,786.02/x
  3. Step 3: Cross multiply
    132,083.64x = 182,227.59 × 86,786.02
  4. Step 4: Simplify right side
    132,083.64x = 15,814,807,270.29
  5. Step 5: Solve for x
    x = 15,814,807,270.29/132,083.64
  6. Step 6: Final answer
    x = 119,733.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.