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Finding the Fourth Proportional to 263,588.64, 363,755.34 and 142,732.68

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Solution

The fourth proportional to 263,588.64, 363,755.34 and 142,732.68 is: 196,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,588.64 : 363,755.34 = 142,732.68 : x
  2. Step 2: Convert to fraction form
    263,588.64/363,755.34 = 142,732.68/x
  3. Step 3: Cross multiply
    263,588.64x = 363,755.34 × 142,732.68
  4. Step 4: Simplify right side
    263,588.64x = 51,919,774,542.51
  5. Step 5: Solve for x
    x = 51,919,774,542.51/263,588.64
  6. Step 6: Final answer
    x = 196,972.73

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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.