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Finding the Fourth Proportional to 265,022.10, 397,382.09 and 180,884.12

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Solution

The fourth proportional to 265,022.10, 397,382.09 and 180,884.12 is: 271,223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,022.10 : 397,382.09 = 180,884.12 : x
  2. Step 2: Convert to fraction form
    265,022.10/397,382.09 = 180,884.12/x
  3. Step 3: Cross multiply
    265,022.10x = 397,382.09 × 180,884.12
  4. Step 4: Simplify right side
    265,022.10x = 71,880,106,762.08
  5. Step 5: Solve for x
    x = 71,880,106,762.08/265,022.10
  6. Step 6: Final answer
    x = 271,223.07

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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.