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Finding the Fourth Proportional to 275,497.40, 413,085.52 and 106,820.66

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Solution

The fourth proportional to 275,497.40, 413,085.52 and 106,820.66 is: 160,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,497.40 : 413,085.52 = 106,820.66 : x
  2. Step 2: Convert to fraction form
    275,497.40/413,085.52 = 106,820.66/x
  3. Step 3: Cross multiply
    275,497.40x = 413,085.52 × 106,820.66
  4. Step 4: Simplify right side
    275,497.40x = 44,126,067,882.84
  5. Step 5: Solve for x
    x = 44,126,067,882.84/275,497.40
  6. Step 6: Final answer
    x = 160,168.73

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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.