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Finding the Fourth Proportional to 162,983.80, 244,329.90 and 106,850.80

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Solution

The fourth proportional to 162,983.80, 244,329.90 and 106,850.80 is: 160,180.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,983.80 : 244,329.90 = 106,850.80 : x
  2. Step 2: Convert to fraction form
    162,983.80/244,329.90 = 106,850.80/x
  3. Step 3: Cross multiply
    162,983.80x = 244,329.90 × 106,850.80
  4. Step 4: Simplify right side
    162,983.80x = 26,106,845,278.92
  5. Step 5: Solve for x
    x = 26,106,845,278.92/162,983.80
  6. Step 6: Final answer
    x = 160,180.61

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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.