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Finding the Fourth Proportional to 123,164.46, 169,967.01 and 66,575.84

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Solution

The fourth proportional to 123,164.46, 169,967.01 and 66,575.84 is: 91,874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,164.46 : 169,967.01 = 66,575.84 : x
  2. Step 2: Convert to fraction form
    123,164.46/169,967.01 = 66,575.84/x
  3. Step 3: Cross multiply
    123,164.46x = 169,967.01 × 66,575.84
  4. Step 4: Simplify right side
    123,164.46x = 11,315,695,613.20
  5. Step 5: Solve for x
    x = 11,315,695,613.20/123,164.46
  6. Step 6: Final answer
    x = 91,874.68

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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.