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Finding the Fourth Proportional to 123,416.56, 185,123.22 and 29,923.12

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Solution

The fourth proportional to 123,416.56, 185,123.22 and 29,923.12 is: 44,884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,416.56 : 185,123.22 = 29,923.12 : x
  2. Step 2: Convert to fraction form
    123,416.56/185,123.22 = 29,923.12/x
  3. Step 3: Cross multiply
    123,416.56x = 185,123.22 × 29,923.12
  4. Step 4: Simplify right side
    123,416.56x = 5,539,464,326.85
  5. Step 5: Solve for x
    x = 5,539,464,326.85/123,416.56
  6. Step 6: Final answer
    x = 44,884.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.