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Finding the Fourth Proportional to 127,940.20, 192,083.10 and 81,284.20

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Solution

The fourth proportional to 127,940.20, 192,083.10 and 81,284.20 is: 122,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,940.20 : 192,083.10 = 81,284.20 : x
  2. Step 2: Convert to fraction form
    127,940.20/192,083.10 = 81,284.20/x
  3. Step 3: Cross multiply
    127,940.20x = 192,083.10 × 81,284.20
  4. Step 4: Simplify right side
    127,940.20x = 15,613,321,117.02
  5. Step 5: Solve for x
    x = 15,613,321,117.02/127,940.20
  6. Step 6: Final answer
    x = 122,036.08

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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.