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Finding the Fourth Proportional to 165,668.63, 248,502.94 and 41,009.63

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Solution

The fourth proportional to 165,668.63, 248,502.94 and 41,009.63 is: 61,514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,668.63 : 248,502.94 = 41,009.63 : x
  2. Step 2: Convert to fraction form
    165,668.63/248,502.94 = 41,009.63/x
  3. Step 3: Cross multiply
    165,668.63x = 248,502.94 × 41,009.63
  4. Step 4: Simplify right side
    165,668.63x = 10,191,012,278.27
  5. Step 5: Solve for x
    x = 10,191,012,278.27/165,668.63
  6. Step 6: Final answer
    x = 61,514.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.