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Finding the Fourth Proportional to 181,978.10, 251,119.41 and 100,290.14

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Solution

The fourth proportional to 181,978.10, 251,119.41 and 100,290.14 is: 138,394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,978.10 : 251,119.41 = 100,290.14 : x
  2. Step 2: Convert to fraction form
    181,978.10/251,119.41 = 100,290.14/x
  3. Step 3: Cross multiply
    181,978.10x = 251,119.41 × 100,290.14
  4. Step 4: Simplify right side
    181,978.10x = 25,184,800,785.62
  5. Step 5: Solve for x
    x = 25,184,800,785.62/181,978.10
  6. Step 6: Final answer
    x = 138,394.68

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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.