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Finding the Fourth Proportional to 275,770.80, 413,361.90 and 157,186.80

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Solution

The fourth proportional to 275,770.80, 413,361.90 and 157,186.80 is: 235,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,770.80 : 413,361.90 = 157,186.80 : x
  2. Step 2: Convert to fraction form
    275,770.80/413,361.90 = 157,186.80/x
  3. Step 3: Cross multiply
    275,770.80x = 413,361.90 × 157,186.80
  4. Step 4: Simplify right side
    275,770.80x = 64,975,034,302.92
  5. Step 5: Solve for x
    x = 64,975,034,302.92/275,770.80
  6. Step 6: Final answer
    x = 235,612.45

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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.