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Finding the Fourth Proportional to 193,200.87, 289,884.74 and 104,516.81

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Solution

The fourth proportional to 193,200.87, 289,884.74 and 104,516.81 is: 156,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,200.87 : 289,884.74 = 104,516.81 : x
  2. Step 2: Convert to fraction form
    193,200.87/289,884.74 = 104,516.81/x
  3. Step 3: Cross multiply
    193,200.87x = 289,884.74 × 104,516.81
  4. Step 4: Simplify right side
    193,200.87x = 30,297,826,320.47
  5. Step 5: Solve for x
    x = 30,297,826,320.47/193,200.87
  6. Step 6: Final answer
    x = 156,820.34

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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.