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Finding the Fourth Proportional to 222,782.88, 307,456.64 and 127,287.53

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Solution

The fourth proportional to 222,782.88, 307,456.64 and 127,287.53 is: 175,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,782.88 : 307,456.64 = 127,287.53 : x
  2. Step 2: Convert to fraction form
    222,782.88/307,456.64 = 127,287.53/x
  3. Step 3: Cross multiply
    222,782.88x = 307,456.64 × 127,287.53
  4. Step 4: Simplify right side
    222,782.88x = 39,135,396,287.70
  5. Step 5: Solve for x
    x = 39,135,396,287.70/222,782.88
  6. Step 6: Final answer
    x = 175,666.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.