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Finding the Fourth Proportional to 263,588.38, 363,751.45 and 142,729.29

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Solution

The fourth proportional to 263,588.38, 363,751.45 and 142,729.29 is: 196,966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,588.38 : 363,751.45 = 142,729.29 : x
  2. Step 2: Convert to fraction form
    263,588.38/363,751.45 = 142,729.29/x
  3. Step 3: Cross multiply
    263,588.38x = 363,751.45 × 142,729.29
  4. Step 4: Simplify right side
    263,588.38x = 51,917,985,838.15
  5. Step 5: Solve for x
    x = 51,917,985,838.15/263,588.38
  6. Step 6: Final answer
    x = 196,966.14

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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.