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Finding the Fourth Proportional to 193,006.51, 289,189.64 and 136,566.86

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Solution

The fourth proportional to 193,006.51, 289,189.64 and 136,566.86 is: 204,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,006.51 : 289,189.64 = 136,566.86 : x
  2. Step 2: Convert to fraction form
    193,006.51/289,189.64 = 136,566.86/x
  3. Step 3: Cross multiply
    193,006.51x = 289,189.64 × 136,566.86
  4. Step 4: Simplify right side
    193,006.51x = 39,493,720,396.50
  5. Step 5: Solve for x
    x = 39,493,720,396.50/193,006.51
  6. Step 6: Final answer
    x = 204,623.78

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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.