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Finding the Fourth Proportional to 100,688.20, 150,902.70 and 77,198.20

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Solution

The fourth proportional to 100,688.20, 150,902.70 and 77,198.20 is: 115,697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,688.20 : 150,902.70 = 77,198.20 : x
  2. Step 2: Convert to fraction form
    100,688.20/150,902.70 = 77,198.20/x
  3. Step 3: Cross multiply
    100,688.20x = 150,902.70 × 77,198.20
  4. Step 4: Simplify right side
    100,688.20x = 11,649,416,815.14
  5. Step 5: Solve for x
    x = 11,649,416,815.14/100,688.20
  6. Step 6: Final answer
    x = 115,697.93

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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.