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Finding the Fourth Proportional to 270,934.32, 406,663.92 and 130,791.36

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Solution

The fourth proportional to 270,934.32, 406,663.92 and 130,791.36 is: 196,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,934.32 : 406,663.92 = 130,791.36 : x
  2. Step 2: Convert to fraction form
    270,934.32/406,663.92 = 130,791.36/x
  3. Step 3: Cross multiply
    270,934.32x = 406,663.92 × 130,791.36
  4. Step 4: Simplify right side
    270,934.32x = 53,188,127,159.73
  5. Step 5: Solve for x
    x = 53,188,127,159.73/270,934.32
  6. Step 6: Final answer
    x = 196,313.73

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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.