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Finding the Fourth Proportional to 202,817.20, 304,744.20 and 180,007.60

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Solution

The fourth proportional to 202,817.20, 304,744.20 and 180,007.60 is: 270,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,817.20 : 304,744.20 = 180,007.60 : x
  2. Step 2: Convert to fraction form
    202,817.20/304,744.20 = 180,007.60/x
  3. Step 3: Cross multiply
    202,817.20x = 304,744.20 × 180,007.60
  4. Step 4: Simplify right side
    202,817.20x = 54,856,272,055.92
  5. Step 5: Solve for x
    x = 54,856,272,055.92/202,817.20
  6. Step 6: Final answer
    x = 270,471.50

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1.5x scale

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.