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Finding the Fourth Proportional to 204,730.80, 307,096.20 and 71,566.80

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Solution

The fourth proportional to 204,730.80, 307,096.20 and 71,566.80 is: 107,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,730.80 : 307,096.20 = 71,566.80 : x
  2. Step 2: Convert to fraction form
    204,730.80/307,096.20 = 71,566.80/x
  3. Step 3: Cross multiply
    204,730.80x = 307,096.20 × 71,566.80
  4. Step 4: Simplify right side
    204,730.80x = 21,977,892,326.16
  5. Step 5: Solve for x
    x = 21,977,892,326.16/204,730.80
  6. Step 6: Final answer
    x = 107,350.20

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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.