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Finding the Fourth Proportional to 275,311.35, 413,117.51 and 106,838.33

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Solution

The fourth proportional to 275,311.35, 413,117.51 and 106,838.33 is: 160,315.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,311.35 : 413,117.51 = 106,838.33 : x
  2. Step 2: Convert to fraction form
    275,311.35/413,117.51 = 106,838.33/x
  3. Step 3: Cross multiply
    275,311.35x = 413,117.51 × 106,838.33
  4. Step 4: Simplify right side
    275,311.35x = 44,136,782,262.38
  5. Step 5: Solve for x
    x = 44,136,782,262.38/275,311.35
  6. Step 6: Final answer
    x = 160,315.88

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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.