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Finding the Fourth Proportional to 106,993.18, 160,508 and 53,710.57

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Solution

The fourth proportional to 106,993.18, 160,508 and 53,710.57 is: 80,575.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,993.18 : 160,508 = 53,710.57 : x
  2. Step 2: Convert to fraction form
    106,993.18/160,508 = 53,710.57/x
  3. Step 3: Cross multiply
    106,993.18x = 160,508 × 53,710.57
  4. Step 4: Simplify right side
    106,993.18x = 8,620,976,169.56
  5. Step 5: Solve for x
    x = 8,620,976,169.56/106,993.18
  6. Step 6: Final answer
    x = 80,575.01

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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.