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Finding the Fourth Proportional to 181,543.72, 250,493.22 and 106,077.64

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Solution

The fourth proportional to 181,543.72, 250,493.22 and 106,077.64 is: 146,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,543.72 : 250,493.22 = 106,077.64 : x
  2. Step 2: Convert to fraction form
    181,543.72/250,493.22 = 106,077.64/x
  3. Step 3: Cross multiply
    181,543.72x = 250,493.22 × 106,077.64
  4. Step 4: Simplify right side
    181,543.72x = 26,571,729,613.60
  5. Step 5: Solve for x
    x = 26,571,729,613.60/181,543.72
  6. Step 6: Final answer
    x = 146,365.46

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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.