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Finding the Fourth Proportional to 106,546.56, 159,820.07 and 43,322.06

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Solution

The fourth proportional to 106,546.56, 159,820.07 and 43,322.06 is: 64,983.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,546.56 : 159,820.07 = 43,322.06 : x
  2. Step 2: Convert to fraction form
    106,546.56/159,820.07 = 43,322.06/x
  3. Step 3: Cross multiply
    106,546.56x = 159,820.07 × 43,322.06
  4. Step 4: Simplify right side
    106,546.56x = 6,923,734,189.38
  5. Step 5: Solve for x
    x = 6,923,734,189.38/106,546.56
  6. Step 6: Final answer
    x = 64,983.18

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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.