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Finding the Fourth Proportional to 204,312.80, 306,469.20 and 93,504.80

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Solution

The fourth proportional to 204,312.80, 306,469.20 and 93,504.80 is: 140,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,312.80 : 306,469.20 = 93,504.80 : x
  2. Step 2: Convert to fraction form
    204,312.80/306,469.20 = 93,504.80/x
  3. Step 3: Cross multiply
    204,312.80x = 306,469.20 × 93,504.80
  4. Step 4: Simplify right side
    204,312.80x = 28,656,341,252.16
  5. Step 5: Solve for x
    x = 28,656,341,252.16/204,312.80
  6. Step 6: Final answer
    x = 140,257.20

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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.