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Finding the Fourth Proportional to 202,164.20, 303,246.30 and 180,391.40

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Solution

The fourth proportional to 202,164.20, 303,246.30 and 180,391.40 is: 270,587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,164.20 : 303,246.30 = 180,391.40 : x
  2. Step 2: Convert to fraction form
    202,164.20/303,246.30 = 180,391.40/x
  3. Step 3: Cross multiply
    202,164.20x = 303,246.30 × 180,391.40
  4. Step 4: Simplify right side
    202,164.20x = 54,703,024,601.82
  5. Step 5: Solve for x
    x = 54,703,024,601.82/202,164.20
  6. Step 6: Final answer
    x = 270,587.10

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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.