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Finding the Fourth Proportional to 211,791.90, 292,273.62 and 114,995.90

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Solution

The fourth proportional to 211,791.90, 292,273.62 and 114,995.90 is: 158,694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,791.90 : 292,273.62 = 114,995.90 : x
  2. Step 2: Convert to fraction form
    211,791.90/292,273.62 = 114,995.90/x
  3. Step 3: Cross multiply
    211,791.90x = 292,273.62 × 114,995.90
  4. Step 4: Simplify right side
    211,791.90x = 33,610,267,978.16
  5. Step 5: Solve for x
    x = 33,610,267,978.16/211,791.90
  6. Step 6: Final answer
    x = 158,694.78

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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.