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Finding the Fourth Proportional to 114,632.64, 171,637.31 and 67,177.78

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Solution

The fourth proportional to 114,632.64, 171,637.31 and 67,177.78 is: 100,584.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,632.64 : 171,637.31 = 67,177.78 : x
  2. Step 2: Convert to fraction form
    114,632.64/171,637.31 = 67,177.78/x
  3. Step 3: Cross multiply
    114,632.64x = 171,637.31 × 67,177.78
  4. Step 4: Simplify right side
    114,632.64x = 11,530,213,189.82
  5. Step 5: Solve for x
    x = 11,530,213,189.82/114,632.64
  6. Step 6: Final answer
    x = 100,584.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.