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Finding the Fourth Proportional to 165,586, 248,402.36 and 53,228.56

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Solution

The fourth proportional to 165,586, 248,402.36 and 53,228.56 is: 79,850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,586 : 248,402.36 = 53,228.56 : x
  2. Step 2: Convert to fraction form
    165,586/248,402.36 = 53,228.56/x
  3. Step 3: Cross multiply
    165,586x = 248,402.36 × 53,228.56
  4. Step 4: Simplify right side
    165,586x = 13,222,099,923.40
  5. Step 5: Solve for x
    x = 13,222,099,923.40/165,586
  6. Step 6: Final answer
    x = 79,850.35

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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.