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Finding the Fourth Proportional to 275,780.70, 413,441.42 and 107,261.42

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Solution

The fourth proportional to 275,780.70, 413,441.42 and 107,261.42 is: 160,802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,780.70 : 413,441.42 = 107,261.42 : x
  2. Step 2: Convert to fraction form
    275,780.70/413,441.42 = 107,261.42/x
  3. Step 3: Cross multiply
    275,780.70x = 413,441.42 × 107,261.42
  4. Step 4: Simplify right side
    275,780.70x = 44,346,311,192.50
  5. Step 5: Solve for x
    x = 44,346,311,192.50/275,780.70
  6. Step 6: Final answer
    x = 160,802.81

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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.