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Finding the Fourth Proportional to 123,163.83, 169,966.08 and 66,575.25

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Solution

The fourth proportional to 123,163.83, 169,966.08 and 66,575.25 is: 91,873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,163.83 : 169,966.08 = 66,575.25 : x
  2. Step 2: Convert to fraction form
    123,163.83/169,966.08 = 66,575.25/x
  3. Step 3: Cross multiply
    123,163.83x = 169,966.08 × 66,575.25
  4. Step 4: Simplify right side
    123,163.83x = 11,315,534,267.52
  5. Step 5: Solve for x
    x = 11,315,534,267.52/123,163.83
  6. Step 6: Final answer
    x = 91,873.84

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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.