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Finding the Fourth Proportional to 181,291.23, 250,101.41 and 120,802.86

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Solution

The fourth proportional to 181,291.23, 250,101.41 and 120,802.86 is: 166,654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,291.23 : 250,101.41 = 120,802.86 : x
  2. Step 2: Convert to fraction form
    181,291.23/250,101.41 = 120,802.86/x
  3. Step 3: Cross multiply
    181,291.23x = 250,101.41 × 120,802.86
  4. Step 4: Simplify right side
    181,291.23x = 30,212,965,014.02
  5. Step 5: Solve for x
    x = 30,212,965,014.02/181,291.23
  6. Step 6: Final answer
    x = 166,654.31

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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.