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Finding the Fourth Proportional to 263,253.72, 363,290.16 and 148,556.64

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Solution

The fourth proportional to 263,253.72, 363,290.16 and 148,556.64 is: 205,008.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,253.72 : 363,290.16 = 148,556.64 : x
  2. Step 2: Convert to fraction form
    263,253.72/363,290.16 = 148,556.64/x
  3. Step 3: Cross multiply
    263,253.72x = 363,290.16 × 148,556.64
  4. Step 4: Simplify right side
    263,253.72x = 53,969,165,514.66
  5. Step 5: Solve for x
    x = 53,969,165,514.66/263,253.72
  6. Step 6: Final answer
    x = 205,008.18

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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.