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Finding the Fourth Proportional to 165,678.01, 248,498.49 and 45,743.97

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Solution

The fourth proportional to 165,678.01, 248,498.49 and 45,743.97 is: 68,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,678.01 : 248,498.49 = 45,743.97 : x
  2. Step 2: Convert to fraction form
    165,678.01/248,498.49 = 45,743.97/x
  3. Step 3: Cross multiply
    165,678.01x = 248,498.49 × 45,743.97
  4. Step 4: Simplify right side
    165,678.01x = 11,367,307,471.61
  5. Step 5: Solve for x
    x = 11,367,307,471.61/165,678.01
  6. Step 6: Final answer
    x = 68,610.84

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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.