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Finding the Fourth Proportional to 165,660.50, 248,529.90 and 54,852.50

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Solution

The fourth proportional to 165,660.50, 248,529.90 and 54,852.50 is: 82,291.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,660.50 : 248,529.90 = 54,852.50 : x
  2. Step 2: Convert to fraction form
    165,660.50/248,529.90 = 54,852.50/x
  3. Step 3: Cross multiply
    165,660.50x = 248,529.90 × 54,852.50
  4. Step 4: Simplify right side
    165,660.50x = 13,632,486,339.75
  5. Step 5: Solve for x
    x = 13,632,486,339.75/165,660.50
  6. Step 6: Final answer
    x = 82,291.71

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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.