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Finding the Fourth Proportional to 201,702.80, 302,554.20 and 113,229.20

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Solution

The fourth proportional to 201,702.80, 302,554.20 and 113,229.20 is: 169,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,702.80 : 302,554.20 = 113,229.20 : x
  2. Step 2: Convert to fraction form
    201,702.80/302,554.20 = 113,229.20/x
  3. Step 3: Cross multiply
    201,702.80x = 302,554.20 × 113,229.20
  4. Step 4: Simplify right side
    201,702.80x = 34,257,970,022.64
  5. Step 5: Solve for x
    x = 34,257,970,022.64/201,702.80
  6. Step 6: Final answer
    x = 169,843.80

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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.