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Finding the Fourth Proportional to 146,274.20, 201,847.92 and 85,847.30

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Solution

The fourth proportional to 146,274.20, 201,847.92 and 85,847.30 is: 118,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,274.20 : 201,847.92 = 85,847.30 : x
  2. Step 2: Convert to fraction form
    146,274.20/201,847.92 = 85,847.30/x
  3. Step 3: Cross multiply
    146,274.20x = 201,847.92 × 85,847.30
  4. Step 4: Simplify right side
    146,274.20x = 17,328,098,942.62
  5. Step 5: Solve for x
    x = 17,328,098,942.62/146,274.20
  6. Step 6: Final answer
    x = 118,463.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.