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Finding the Fourth Proportional to 70,820.80, 106,288.80 and 68,516.80

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Solution

The fourth proportional to 70,820.80, 106,288.80 and 68,516.80 is: 102,830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,820.80 : 106,288.80 = 68,516.80 : x
  2. Step 2: Convert to fraction form
    70,820.80/106,288.80 = 68,516.80/x
  3. Step 3: Cross multiply
    70,820.80x = 106,288.80 × 68,516.80
  4. Step 4: Simplify right side
    70,820.80x = 7,282,568,451.84
  5. Step 5: Solve for x
    x = 7,282,568,451.84/70,820.80
  6. Step 6: Final answer
    x = 102,830.93

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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.