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Finding the Fourth Proportional to 209,814.57, 289,535.98 and 114,321.98

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Solution

The fourth proportional to 209,814.57, 289,535.98 and 114,321.98 is: 157,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,814.57 : 289,535.98 = 114,321.98 : x
  2. Step 2: Convert to fraction form
    209,814.57/289,535.98 = 114,321.98/x
  3. Step 3: Cross multiply
    209,814.57x = 289,535.98 × 114,321.98
  4. Step 4: Simplify right side
    209,814.57x = 33,100,326,514.84
  5. Step 5: Solve for x
    x = 33,100,326,514.84/209,814.57
  6. Step 6: Final answer
    x = 157,759.90

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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.