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Finding the Fourth Proportional to 165,514.98, 248,077.98 and 76,580.64

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Solution

The fourth proportional to 165,514.98, 248,077.98 and 76,580.64 is: 114,780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,514.98 : 248,077.98 = 76,580.64 : x
  2. Step 2: Convert to fraction form
    165,514.98/248,077.98 = 76,580.64/x
  3. Step 3: Cross multiply
    165,514.98x = 248,077.98 × 76,580.64
  4. Step 4: Simplify right side
    165,514.98x = 18,997,970,478.31
  5. Step 5: Solve for x
    x = 18,997,970,478.31/165,514.98
  6. Step 6: Final answer
    x = 114,780.97

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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.