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Finding the Fourth Proportional to 110,645.70, 166,100.16 and 106,134.06

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Solution

The fourth proportional to 110,645.70, 166,100.16 and 106,134.06 is: 159,327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,645.70 : 166,100.16 = 106,134.06 : x
  2. Step 2: Convert to fraction form
    110,645.70/166,100.16 = 106,134.06/x
  3. Step 3: Cross multiply
    110,645.70x = 166,100.16 × 106,134.06
  4. Step 4: Simplify right side
    110,645.70x = 17,628,884,347.45
  5. Step 5: Solve for x
    x = 17,628,884,347.45/110,645.70
  6. Step 6: Final answer
    x = 159,327.33

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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.