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Finding the Fourth Proportional to 263,502.64, 363,631.18 and 142,640.82

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Solution

The fourth proportional to 263,502.64, 363,631.18 and 142,640.82 is: 196,843.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,502.64 : 363,631.18 = 142,640.82 : x
  2. Step 2: Convert to fraction form
    263,502.64/363,631.18 = 142,640.82/x
  3. Step 3: Cross multiply
    263,502.64x = 363,631.18 × 142,640.82
  4. Step 4: Simplify right side
    263,502.64x = 51,868,649,692.77
  5. Step 5: Solve for x
    x = 51,868,649,692.77/263,502.64
  6. Step 6: Final answer
    x = 196,843.00

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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.