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Finding the Fourth Proportional to 123,563.64, 185,358.42 and 40,464.12

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Solution

The fourth proportional to 123,563.64, 185,358.42 and 40,464.12 is: 60,700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,563.64 : 185,358.42 = 40,464.12 : x
  2. Step 2: Convert to fraction form
    123,563.64/185,358.42 = 40,464.12/x
  3. Step 3: Cross multiply
    123,563.64x = 185,358.42 × 40,464.12
  4. Step 4: Simplify right side
    123,563.64x = 7,500,365,349.89
  5. Step 5: Solve for x
    x = 7,500,365,349.89/123,563.64
  6. Step 6: Final answer
    x = 60,700.42

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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.