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Finding the Fourth Proportional to 127,355.20, 190,814.10 and 82,959.10

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Solution

The fourth proportional to 127,355.20, 190,814.10 and 82,959.10 is: 124,296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,355.20 : 190,814.10 = 82,959.10 : x
  2. Step 2: Convert to fraction form
    127,355.20/190,814.10 = 82,959.10/x
  3. Step 3: Cross multiply
    127,355.20x = 190,814.10 × 82,959.10
  4. Step 4: Simplify right side
    127,355.20x = 15,829,766,003.31
  5. Step 5: Solve for x
    x = 15,829,766,003.31/127,355.20
  6. Step 6: Final answer
    x = 124,296.19

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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.