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Finding the Fourth Proportional to 120,410.51, 166,164.66 and 65,962.26

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Solution

The fourth proportional to 120,410.51, 166,164.66 and 65,962.26 is: 91,026.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,410.51 : 166,164.66 = 65,962.26 : x
  2. Step 2: Convert to fraction form
    120,410.51/166,164.66 = 65,962.26/x
  3. Step 3: Cross multiply
    120,410.51x = 166,164.66 × 65,962.26
  4. Step 4: Simplify right side
    120,410.51x = 10,960,596,505.73
  5. Step 5: Solve for x
    x = 10,960,596,505.73/120,410.51
  6. Step 6: Final answer
    x = 91,026.91

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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.