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Finding the Fourth Proportional to 123,378.34, 185,068.60 and 29,884.18

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Solution

The fourth proportional to 123,378.34, 185,068.60 and 29,884.18 is: 44,826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,378.34 : 185,068.60 = 29,884.18 : x
  2. Step 2: Convert to fraction form
    123,378.34/185,068.60 = 29,884.18/x
  3. Step 3: Cross multiply
    123,378.34x = 185,068.60 × 29,884.18
  4. Step 4: Simplify right side
    123,378.34x = 5,530,623,354.75
  5. Step 5: Solve for x
    x = 5,530,623,354.75/123,378.34
  6. Step 6: Final answer
    x = 44,826.53

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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.