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Finding the Fourth Proportional to 263,633.12, 363,814.04 and 142,774.60

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Solution

The fourth proportional to 263,633.12, 363,814.04 and 142,774.60 is: 197,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,633.12 : 363,814.04 = 142,774.60 : x
  2. Step 2: Convert to fraction form
    263,633.12/363,814.04 = 142,774.60/x
  3. Step 3: Cross multiply
    263,633.12x = 363,814.04 × 142,774.60
  4. Step 4: Simplify right side
    263,633.12x = 51,943,404,035.38
  5. Step 5: Solve for x
    x = 51,943,404,035.38/263,633.12
  6. Step 6: Final answer
    x = 197,029.13

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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.