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Finding the Fourth Proportional to 127,816.80, 191,782.80 and 61,231.20

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Solution

The fourth proportional to 127,816.80, 191,782.80 and 61,231.20 is: 91,874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,816.80 : 191,782.80 = 61,231.20 : x
  2. Step 2: Convert to fraction form
    127,816.80/191,782.80 = 61,231.20/x
  3. Step 3: Cross multiply
    127,816.80x = 191,782.80 × 61,231.20
  4. Step 4: Simplify right side
    127,816.80x = 11,743,090,983.36
  5. Step 5: Solve for x
    x = 11,743,090,983.36/127,816.80
  6. Step 6: Final answer
    x = 91,874.39

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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.