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Finding the Fourth Proportional to 263,536.70, 363,691 and 148,839.49

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Solution

The fourth proportional to 263,536.70, 363,691 and 148,839.49 is: 205,404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,536.70 : 363,691 = 148,839.49 : x
  2. Step 2: Convert to fraction form
    263,536.70/363,691 = 148,839.49/x
  3. Step 3: Cross multiply
    263,536.70x = 363,691 × 148,839.49
  4. Step 4: Simplify right side
    263,536.70x = 54,131,582,957.59
  5. Step 5: Solve for x
    x = 54,131,582,957.59/263,536.70
  6. Step 6: Final answer
    x = 205,404.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.