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Finding the Fourth Proportional to 111,177, 166,782.78 and 37,322.28

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Solution

The fourth proportional to 111,177, 166,782.78 and 37,322.28 is: 55,989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,177 : 166,782.78 = 37,322.28 : x
  2. Step 2: Convert to fraction form
    111,177/166,782.78 = 37,322.28/x
  3. Step 3: Cross multiply
    111,177x = 166,782.78 × 37,322.28
  4. Step 4: Simplify right side
    111,177x = 6,224,713,614.34
  5. Step 5: Solve for x
    x = 6,224,713,614.34/111,177
  6. Step 6: Final answer
    x = 55,989.22

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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.