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Finding the Fourth Proportional to 120,410.66, 166,164.84 and 65,962.37

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Solution

The fourth proportional to 120,410.66, 166,164.84 and 65,962.37 is: 91,027.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,410.66 : 166,164.84 = 65,962.37 : x
  2. Step 2: Convert to fraction form
    120,410.66/166,164.84 = 65,962.37/x
  3. Step 3: Cross multiply
    120,410.66x = 166,164.84 × 65,962.37
  4. Step 4: Simplify right side
    120,410.66x = 10,960,626,657.07
  5. Step 5: Solve for x
    x = 10,960,626,657.07/120,410.66
  6. Step 6: Final answer
    x = 91,027.05

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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.