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Finding the Fourth Proportional to 165,657.88, 248,137.70 and 75,776.28

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Solution

The fourth proportional to 165,657.88, 248,137.70 and 75,776.28 is: 113,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,657.88 : 248,137.70 = 75,776.28 : x
  2. Step 2: Convert to fraction form
    165,657.88/248,137.70 = 75,776.28/x
  3. Step 3: Cross multiply
    165,657.88x = 248,137.70 × 75,776.28
  4. Step 4: Simplify right side
    165,657.88x = 18,802,951,833.76
  5. Step 5: Solve for x
    x = 18,802,951,833.76/165,657.88
  6. Step 6: Final answer
    x = 113,504.72

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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.