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Finding the Fourth Proportional to 202,812.20, 304,736.70 and 180,002.60

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Solution

The fourth proportional to 202,812.20, 304,736.70 and 180,002.60 is: 270,464.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,812.20 : 304,736.70 = 180,002.60 : x
  2. Step 2: Convert to fraction form
    202,812.20/304,736.70 = 180,002.60/x
  3. Step 3: Cross multiply
    202,812.20x = 304,736.70 × 180,002.60
  4. Step 4: Simplify right side
    202,812.20x = 54,853,398,315.42
  5. Step 5: Solve for x
    x = 54,853,398,315.42/202,812.20
  6. Step 6: Final answer
    x = 270,464.00

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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.