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Finding the Fourth Proportional to 209,792.99, 289,514.34 and 114,299.69

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Solution

The fourth proportional to 209,792.99, 289,514.34 and 114,299.69 is: 157,733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,792.99 : 289,514.34 = 114,299.69 : x
  2. Step 2: Convert to fraction form
    209,792.99/289,514.34 = 114,299.69/x
  3. Step 3: Cross multiply
    209,792.99x = 289,514.34 × 114,299.69
  4. Step 4: Simplify right side
    209,792.99x = 33,091,397,864.98
  5. Step 5: Solve for x
    x = 33,091,397,864.98/209,792.99
  6. Step 6: Final answer
    x = 157,733.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.