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Finding the Fourth Proportional to 263,138.31, 363,130.35 and 148,416.59

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Solution

The fourth proportional to 263,138.31, 363,130.35 and 148,416.59 is: 204,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,138.31 : 363,130.35 = 148,416.59 : x
  2. Step 2: Convert to fraction form
    263,138.31/363,130.35 = 148,416.59/x
  3. Step 3: Cross multiply
    263,138.31x = 363,130.35 × 148,416.59
  4. Step 4: Simplify right side
    263,138.31x = 53,894,568,272.51
  5. Step 5: Solve for x
    x = 53,894,568,272.51/263,138.31
  6. Step 6: Final answer
    x = 204,814.60

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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.