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Finding the Fourth Proportional to 230,728.80, 346,093.20 and 106,312.80

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Solution

The fourth proportional to 230,728.80, 346,093.20 and 106,312.80 is: 159,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,728.80 : 346,093.20 = 106,312.80 : x
  2. Step 2: Convert to fraction form
    230,728.80/346,093.20 = 106,312.80/x
  3. Step 3: Cross multiply
    230,728.80x = 346,093.20 × 106,312.80
  4. Step 4: Simplify right side
    230,728.80x = 36,794,137,152.96
  5. Step 5: Solve for x
    x = 36,794,137,152.96/230,728.80
  6. Step 6: Final answer
    x = 159,469.20

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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.