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Finding the Fourth Proportional to 237,257.86, 327,415.44 and 129,827.86

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Solution

The fourth proportional to 237,257.86, 327,415.44 and 129,827.86 is: 179,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,257.86 : 327,415.44 = 129,827.86 : x
  2. Step 2: Convert to fraction form
    237,257.86/327,415.44 = 129,827.86/x
  3. Step 3: Cross multiply
    237,257.86x = 327,415.44 × 129,827.86
  4. Step 4: Simplify right side
    237,257.86x = 42,507,645,906.16
  5. Step 5: Solve for x
    x = 42,507,645,906.16/237,257.86
  6. Step 6: Final answer
    x = 179,162.22

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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.