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Finding the Fourth Proportional to 171,005.40, 256,508.10 and 123,766.20

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Solution

The fourth proportional to 171,005.40, 256,508.10 and 123,766.20 is: 185,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,005.40 : 256,508.10 = 123,766.20 : x
  2. Step 2: Convert to fraction form
    171,005.40/256,508.10 = 123,766.20/x
  3. Step 3: Cross multiply
    171,005.40x = 256,508.10 × 123,766.20
  4. Step 4: Simplify right side
    171,005.40x = 31,747,032,806.22
  5. Step 5: Solve for x
    x = 31,747,032,806.22/171,005.40
  6. Step 6: Final answer
    x = 185,649.30

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