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Finding the Fourth Proportional to 237,076.88, 327,171.56 and 146,494.98

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Solution

The fourth proportional to 237,076.88, 327,171.56 and 146,494.98 is: 202,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,076.88 : 327,171.56 = 146,494.98 : x
  2. Step 2: Convert to fraction form
    237,076.88/327,171.56 = 146,494.98/x
  3. Step 3: Cross multiply
    237,076.88x = 327,171.56 × 146,494.98
  4. Step 4: Simplify right side
    237,076.88x = 47,928,990,406.29
  5. Step 5: Solve for x
    x = 47,928,990,406.29/237,076.88
  6. Step 6: Final answer
    x = 202,166.45

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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.