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Finding the Fourth Proportional to 180,209.36, 270,383.16 and 69,410

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Solution

The fourth proportional to 180,209.36, 270,383.16 and 69,410 is: 104,141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,209.36 : 270,383.16 = 69,410 : x
  2. Step 2: Convert to fraction form
    180,209.36/270,383.16 = 69,410/x
  3. Step 3: Cross multiply
    180,209.36x = 270,383.16 × 69,410
  4. Step 4: Simplify right side
    180,209.36x = 18,767,295,135.60
  5. Step 5: Solve for x
    x = 18,767,295,135.60/180,209.36
  6. Step 6: Final answer
    x = 104,141.62

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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.