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Finding the Fourth Proportional to 113,927.27, 170,742.26 and 82,443.38

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Solution

The fourth proportional to 113,927.27, 170,742.26 and 82,443.38 is: 123,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,927.27 : 170,742.26 = 82,443.38 : x
  2. Step 2: Convert to fraction form
    113,927.27/170,742.26 = 82,443.38/x
  3. Step 3: Cross multiply
    113,927.27x = 170,742.26 × 82,443.38
  4. Step 4: Simplify right side
    113,927.27x = 14,076,567,757.31
  5. Step 5: Solve for x
    x = 14,076,567,757.31/113,927.27
  6. Step 6: Final answer
    x = 123,557.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.