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Finding the Fourth Proportional to 201,806.20, 302,709.30 and 180,033.40

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Solution

The fourth proportional to 201,806.20, 302,709.30 and 180,033.40 is: 270,050.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,806.20 : 302,709.30 = 180,033.40 : x
  2. Step 2: Convert to fraction form
    201,806.20/302,709.30 = 180,033.40/x
  3. Step 3: Cross multiply
    201,806.20x = 302,709.30 × 180,033.40
  4. Step 4: Simplify right side
    201,806.20x = 54,497,784,490.62
  5. Step 5: Solve for x
    x = 54,497,784,490.62/201,806.20
  6. Step 6: Final answer
    x = 270,050.10

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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.