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Finding the Fourth Proportional to 201,702.40, 302,553.60 and 170,209.60

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Solution

The fourth proportional to 201,702.40, 302,553.60 and 170,209.60 is: 255,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,702.40 : 302,553.60 = 170,209.60 : x
  2. Step 2: Convert to fraction form
    201,702.40/302,553.60 = 170,209.60/x
  3. Step 3: Cross multiply
    201,702.40x = 302,553.60 × 170,209.60
  4. Step 4: Simplify right side
    201,702.40x = 51,497,527,234.56
  5. Step 5: Solve for x
    x = 51,497,527,234.56/201,702.40
  6. Step 6: Final answer
    x = 255,314.40

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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.