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Finding the Fourth Proportional to 123,924.42, 171,026.04 and 76,189.50

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Solution

The fourth proportional to 123,924.42, 171,026.04 and 76,189.50 is: 105,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,924.42 : 171,026.04 = 76,189.50 : x
  2. Step 2: Convert to fraction form
    123,924.42/171,026.04 = 76,189.50/x
  3. Step 3: Cross multiply
    123,924.42x = 171,026.04 × 76,189.50
  4. Step 4: Simplify right side
    123,924.42x = 13,030,388,474.58
  5. Step 5: Solve for x
    x = 13,030,388,474.58/123,924.42
  6. Step 6: Final answer
    x = 105,147.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.