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Finding the Fourth Proportional to 193,295.72, 289,953.30 and 66,942.20

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Solution

The fourth proportional to 193,295.72, 289,953.30 and 66,942.20 is: 100,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,295.72 : 289,953.30 = 66,942.20 : x
  2. Step 2: Convert to fraction form
    193,295.72/289,953.30 = 66,942.20/x
  3. Step 3: Cross multiply
    193,295.72x = 289,953.30 × 66,942.20
  4. Step 4: Simplify right side
    193,295.72x = 19,410,111,799.26
  5. Step 5: Solve for x
    x = 19,410,111,799.26/193,295.72
  6. Step 6: Final answer
    x = 100,416.67

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1.5x scale

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.