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Finding the Fourth Proportional to 165,764.70, 248,620.65 and 54,956.70

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Solution

The fourth proportional to 165,764.70, 248,620.65 and 54,956.70 is: 82,426.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,764.70 : 248,620.65 = 54,956.70 : x
  2. Step 2: Convert to fraction form
    165,764.70/248,620.65 = 54,956.70/x
  3. Step 3: Cross multiply
    165,764.70x = 248,620.65 × 54,956.70
  4. Step 4: Simplify right side
    165,764.70x = 13,663,370,475.86
  5. Step 5: Solve for x
    x = 13,663,370,475.86/165,764.70
  6. Step 6: Final answer
    x = 82,426.30

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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.