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Finding the Fourth Proportional to 123,159.44, 184,758.60 and 40,034

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Solution

The fourth proportional to 123,159.44, 184,758.60 and 40,034 is: 60,057.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,159.44 : 184,758.60 = 40,034 : x
  2. Step 2: Convert to fraction form
    123,159.44/184,758.60 = 40,034/x
  3. Step 3: Cross multiply
    123,159.44x = 184,758.60 × 40,034
  4. Step 4: Simplify right side
    123,159.44x = 7,396,625,792.40
  5. Step 5: Solve for x
    x = 7,396,625,792.40/123,159.44
  6. Step 6: Final answer
    x = 60,057.32

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Why These Related Problems?

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