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Finding the Fourth Proportional to 253,701.24, 380,449.80 and 164,821.56

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Solution

The fourth proportional to 253,701.24, 380,449.80 and 164,821.56 is: 247,166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,701.24 : 380,449.80 = 164,821.56 : x
  2. Step 2: Convert to fraction form
    253,701.24/380,449.80 = 164,821.56/x
  3. Step 3: Cross multiply
    253,701.24x = 380,449.80 × 164,821.56
  4. Step 4: Simplify right side
    253,701.24x = 62,706,329,537.69
  5. Step 5: Solve for x
    x = 62,706,329,537.69/253,701.24
  6. Step 6: Final answer
    x = 247,166.03

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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.